This weekend will see the start of a final round of sales at 1,700 RadioShack stores, the first wave slated for liquidation as the consumer-electronics retailer tries to cut down its chain in Chapter 11 bankruptcy.

Judge Brendan Shannon authorized the beginning of store closure sales Friday, less than 24 hours after the Fort Worth, Texas, company sought bankruptcy protection in U.S. Bankruptcy Court in Wilmington, Del.

RadioShack...