The two are generally synonyms. Fortunate (moreso than lucky) should only mean "accidental" or by random chance, but has assumed a connotation of "having GOOD fortune" and spawned the bad-luck variant "unfortunate" (having bad luck).
There are some situations where one is used and not the other, e.g. a lucky charm.
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Fortunate means you are very lucky to have or see.
Lucky.
less fortunate means less lucky
the prefix un added to fortunate mean not lucky because fortunate means lucky so adding un makes unfortunate mean not lucky
Fortunate means something like lucky. As in: He was fortunate (lucky) not to be injured when the car knocked him off his bike.
They are (Happy/Glad/Lucky/Fortunate?etc) They are (Happy/Glad/Lucky/Fortunate?etc)
Fortunate & Lucky.
Fortunate
advantageous, fortunate or lucky
lucky
lucky
Lucky and Fortunate