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Finding the Fourth Proportional to 766.27, 1,057.29 and 471.71

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Solution

The fourth proportional to 766.27, 1,057.29 and 471.71 is: 650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.27 : 1,057.29 = 471.71 : x
  2. Step 2: Convert to fraction form
    766.27/1,057.29 = 471.71/x
  3. Step 3: Cross multiply
    766.27x = 1,057.29 × 471.71
  4. Step 4: Simplify right side
    766.27x = 498,734.27
  5. Step 5: Solve for x
    x = 498,734.27/766.27
  6. Step 6: Final answer
    x = 650.86

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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.