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Finding the Fourth Proportional to 831.38, 1,246.97 and 522.32

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Solution

The fourth proportional to 831.38, 1,246.97 and 522.32 is: 783.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.38 : 1,246.97 = 522.32 : x
  2. Step 2: Convert to fraction form
    831.38/1,246.97 = 522.32/x
  3. Step 3: Cross multiply
    831.38x = 1,246.97 × 522.32
  4. Step 4: Simplify right side
    831.38x = 651,308.52
  5. Step 5: Solve for x
    x = 651,308.52/831.38
  6. Step 6: Final answer
    x = 783.41

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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.