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Finding the Fourth Proportional to 766.53, 1,057.67 and 487.15

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Solution

The fourth proportional to 766.53, 1,057.67 and 487.15 is: 672.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.53 : 1,057.67 = 487.15 : x
  2. Step 2: Convert to fraction form
    766.53/1,057.67 = 487.15/x
  3. Step 3: Cross multiply
    766.53x = 1,057.67 × 487.15
  4. Step 4: Simplify right side
    766.53x = 515,243.94
  5. Step 5: Solve for x
    x = 515,243.94/766.53
  6. Step 6: Final answer
    x = 672.18

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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.