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Finding the Fourth Proportional to 831.38, 1,247.08 and 344.12

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Solution

The fourth proportional to 831.38, 1,247.08 and 344.12 is: 516.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.38 : 1,247.08 = 344.12 : x
  2. Step 2: Convert to fraction form
    831.38/1,247.08 = 344.12/x
  3. Step 3: Cross multiply
    831.38x = 1,247.08 × 344.12
  4. Step 4: Simplify right side
    831.38x = 429,145.17
  5. Step 5: Solve for x
    x = 429,145.17/831.38
  6. Step 6: Final answer
    x = 516.18

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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.