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Finding the Fourth Proportional to 831.68, 1,248.64 and 539.20

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Solution

The fourth proportional to 831.68, 1,248.64 and 539.20 is: 809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.68 : 1,248.64 = 539.20 : x
  2. Step 2: Convert to fraction form
    831.68/1,248.64 = 539.20/x
  3. Step 3: Cross multiply
    831.68x = 1,248.64 × 539.20
  4. Step 4: Simplify right side
    831.68x = 673,266.69
  5. Step 5: Solve for x
    x = 673,266.69/831.68
  6. Step 6: Final answer
    x = 809.53

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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.