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Finding the Fourth Proportional to 765.92, 1,057.94 and 666.14

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Solution

The fourth proportional to 765.92, 1,057.94 and 666.14 is: 920.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.92 : 1,057.94 = 666.14 : x
  2. Step 2: Convert to fraction form
    765.92/1,057.94 = 666.14/x
  3. Step 3: Cross multiply
    765.92x = 1,057.94 × 666.14
  4. Step 4: Simplify right side
    765.92x = 704,740.46
  5. Step 5: Solve for x
    x = 704,740.46/765.92
  6. Step 6: Final answer
    x = 920.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.