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Finding the Fourth Proportional to 831.52, 1,247.01 and 344.31

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Solution

The fourth proportional to 831.52, 1,247.01 and 344.31 is: 516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.52 : 1,247.01 = 344.31 : x
  2. Step 2: Convert to fraction form
    831.52/1,247.01 = 344.31/x
  3. Step 3: Cross multiply
    831.52x = 1,247.01 × 344.31
  4. Step 4: Simplify right side
    831.52x = 429,358.01
  5. Step 5: Solve for x
    x = 429,358.01/831.52
  6. Step 6: Final answer
    x = 516.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.