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Finding the Fourth Proportional to 831.87, 1,147.68 and 477.81

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Solution

The fourth proportional to 831.87, 1,147.68 and 477.81 is: 659.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.87 : 1,147.68 = 477.81 : x
  2. Step 2: Convert to fraction form
    831.87/1,147.68 = 477.81/x
  3. Step 3: Cross multiply
    831.87x = 1,147.68 × 477.81
  4. Step 4: Simplify right side
    831.87x = 548,372.98
  5. Step 5: Solve for x
    x = 548,372.98/831.87
  6. Step 6: Final answer
    x = 659.21

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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.