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Finding the Fourth Proportional to 831.68, 1,147.52 and 520.96

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Solution

The fourth proportional to 831.68, 1,147.52 and 520.96 is: 718.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.68 : 1,147.52 = 520.96 : x
  2. Step 2: Convert to fraction form
    831.68/1,147.52 = 520.96/x
  3. Step 3: Cross multiply
    831.68x = 1,147.52 × 520.96
  4. Step 4: Simplify right side
    831.68x = 597,812.02
  5. Step 5: Solve for x
    x = 597,812.02/831.68
  6. Step 6: Final answer
    x = 718.80

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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.