Finding the Fourth Proportional to 785.94, 1,178.86 and 266.20
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Solution
The fourth proportional to 785.94, 1,178.86 and 266.20 is: 399.28
Step by Step Solution
- Step 1: Write the proportion equation
785.94 : 1,178.86 = 266.20 : x - Step 2: Convert to fraction form
785.94/1,178.86 = 266.20/x - Step 3: Cross multiply
785.94x = 1,178.86 × 266.20 - Step 4: Simplify right side
785.94x = 313,812.53 - Step 5: Solve for x
x = 313,812.53/785.94 - Step 6: Final answer
x = 399.28
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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.