Final answer:
The sentence 'My plans for starting a new restaurant fell____ for lack of capital.' is correctly completed by the word 'through', signifying that the plans didn't come to fruition.
Step-by-step explanation:
The appropriate word to complete the sentence 'My plans for starting a new restaurant fell____ for lack of capital.' is 'through'. So the complete sentence should read: 'My plans for starting a new restaurant fell through for lack of capital.' This indicates that the student's plans were not successful due to insufficient funding.
For example, if someone's plans for starting a new restaurant fell through, it means that they were not able to secure the necessary funds to make the restaurant a reality.