Final answer:
The American and French revolutions inspired 19th-century Latin American revolutions by providing a model for overthrowing colonial rule and establishing independent nations based on Enlightenment ideals.
Step-by-step explanation:
The American and French revolutions significantly influenced the 19th-century revolutions in Latin America, including the key aspect of seeking independence from colonial rule. Latin American revolutions were similar to the earlier revolutions, particularly in their desire to overthrow old systems and establish new, self-governing republics. The intellectual underpinnings of these revolutions were heavily influenced by Enlightenment ideals of liberty, equality, and justice, which had also inspired the American and French populations. Haiti's revolt against slavery and the liberation campaigns led by figures such as Bolívar and San Martín echoed the earlier revolutionary struggles, even though they also faced unique challenges such as lack of popular support and geographic obstacles.