Index: src/wp-content/themes/twentyeleven/blocks.css
===================================================================
--- src/wp-content/themes/twentyeleven/blocks.css	(revision 57919)
+++ src/wp-content/themes/twentyeleven/blocks.css	(working copy)
@@ -123,6 +123,18 @@
 	font-size: 16px;
 }
 
+.wp-block-quote[style*="font-weight"] blockquote,
+.wp-block-quote[style*="font-weight"] p,
+.wp-block-quote[style*="font-weight"] cite {
+	font-weight: inherit;
+}
+
+.wp-block-quote[style*="font-style"] blockquote,
+.wp-block-quote[style*="font-style"] p,
+.wp-block-quote[style*="font-style"] cite {
+	font-style: inherit;
+}
+
 /* Audio */
 
 .wp-block-audio audio {
@@ -203,6 +215,18 @@
 	margin-left: 1.625em;
 }
 
+.wp-block-pullquote[style*="font-weight"] blockquote,
+.wp-block-pullquote[style*="font-weight"] p,
+.wp-block-pullquote[style*="font-weight"] cite {
+	font-weight: inherit;
+}
+
+.wp-block-pullquote[style*="font-style"] blockquote,
+.wp-block-pullquote[style*="font-style"] p,
+.wp-block-pullquote[style*="font-style"] cite {
+	font-style: inherit;
+}
+
 /* Table */
 
 .wp-block-table {
Index: src/wp-content/themes/twentyeleven/editor-blocks.css
===================================================================
--- src/wp-content/themes/twentyeleven/editor-blocks.css	(revision 57919)
+++ src/wp-content/themes/twentyeleven/editor-blocks.css	(working copy)
@@ -302,6 +302,18 @@
 	font-size: 16px;
 }
 
+.wp-block-quote[style*="font-weight"] blockquote,
+.wp-block-quote[style*="font-weight"] p,
+.wp-block-quote[style*="font-weight"] cite {
+	font-weight: inherit;
+}
+
+.wp-block-quote[style*="font-style"] blockquote,
+.wp-block-quote[style*="font-style"] p,
+.wp-block-quote[style*="font-style"] cite {
+	font-style: inherit;
+}
+
 /* Cover */
 
 .edit-post-visual-editor .editor-block-list__block .wp-block-cover-image p.wp-block-cover-image-text,
@@ -358,6 +370,18 @@
 	font-size: 20px;
 }
 
+.wp-block-pullquote[style*="font-weight"] blockquote,
+.wp-block-pullquote[style*="font-weight"] p,
+.wp-block-pullquote[style*="font-weight"] cite {
+	font-weight: inherit;
+}
+
+.wp-block-pullquote[style*="font-style"] blockquote,
+.wp-block-pullquote[style*="font-style"] p,
+.wp-block-pullquote[style*="font-style"] cite {
+	font-style: inherit;
+}
+
 /* Table */
 
 .editor-styles-wrapper .wp-block-table th,