Pompano Beach spokeswoman Sandra King says firefighters extinguished the blaze on the seventh floor of the 15-story building early Tuesday.
A resident who was able to safely get out told firefighters that she walked out of the bathroom and found her apartment on fire.
Smoke spread quickly down the hallway. King says firefighters pulled three people from seventh-floor balconies.
Sheriff's officials said in a news release that 80-year-old Vincent R. Andretta died, likely of smoke inhalation.
The state fire marshal is investigating. Pompano Beach is just north of Fort Lauderdale.
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