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Finding the Fourth Proportional to 781.49, 1,078.49 and 432.17

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Solution

The fourth proportional to 781.49, 1,078.49 and 432.17 is: 596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.49 : 1,078.49 = 432.17 : x
  2. Step 2: Convert to fraction form
    781.49/1,078.49 = 432.17/x
  3. Step 3: Cross multiply
    781.49x = 1,078.49 × 432.17
  4. Step 4: Simplify right side
    781.49x = 466,088.86
  5. Step 5: Solve for x
    x = 466,088.86/781.49
  6. Step 6: Final answer
    x = 596.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.