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Finding the Fourth Proportional to 861.87, 1,292.81 and 831.12

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Solution

The fourth proportional to 861.87, 1,292.81 and 831.12 is: 1,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.87 : 1,292.81 = 831.12 : x
  2. Step 2: Convert to fraction form
    861.87/1,292.81 = 831.12/x
  3. Step 3: Cross multiply
    861.87x = 1,292.81 × 831.12
  4. Step 4: Simplify right side
    861.87x = 1,074,474.20
  5. Step 5: Solve for x
    x = 1,074,474.20/861.87
  6. Step 6: Final answer
    x = 1,246.68

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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.