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Finding the Fourth Proportional to 781.26, 1,078.14 and 431.94

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Solution

The fourth proportional to 781.26, 1,078.14 and 431.94 is: 596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.26 : 1,078.14 = 431.94 : x
  2. Step 2: Convert to fraction form
    781.26/1,078.14 = 431.94/x
  3. Step 3: Cross multiply
    781.26x = 1,078.14 × 431.94
  4. Step 4: Simplify right side
    781.26x = 465,691.79
  5. Step 5: Solve for x
    x = 465,691.79/781.26
  6. Step 6: Final answer
    x = 596.08

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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.