Finding the Fourth Proportional to 784, 1,176 and 264
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Solution
The fourth proportional to 784, 1,176 and 264 is: 396
Step by Step Solution
- Step 1: Write the proportion equation
784 : 1,176 = 264 : x - Step 2: Convert to fraction form
784/1,176 = 264/x - Step 3: Cross multiply
784x = 1,176 × 264 - Step 4: Simplify right side
784x = 310,464 - Step 5: Solve for x
x = 310,464/784 - Step 6: Final answer
x = 396
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.