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Finding the Fourth Proportional to 766.92, 1,057.11 and 531.21

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Solution

The fourth proportional to 766.92, 1,057.11 and 531.21 is: 732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.92 : 1,057.11 = 531.21 : x
  2. Step 2: Convert to fraction form
    766.92/1,057.11 = 531.21/x
  3. Step 3: Cross multiply
    766.92x = 1,057.11 × 531.21
  4. Step 4: Simplify right side
    766.92x = 561,547.40
  5. Step 5: Solve for x
    x = 561,547.40/766.92
  6. Step 6: Final answer
    x = 732.21

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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.