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Finding the Fourth Proportional to 781.25, 1,078.13 and 431.95

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Solution

The fourth proportional to 781.25, 1,078.13 and 431.95 is: 596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.25 : 1,078.13 = 431.95 : x
  2. Step 2: Convert to fraction form
    781.25/1,078.13 = 431.95/x
  3. Step 3: Cross multiply
    781.25x = 1,078.13 × 431.95
  4. Step 4: Simplify right side
    781.25x = 465,698.25
  5. Step 5: Solve for x
    x = 465,698.25/781.25
  6. Step 6: Final answer
    x = 596.09

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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.