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Finding the Fourth Proportional to 781.53, 1,078.53 and 432.21

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Solution

The fourth proportional to 781.53, 1,078.53 and 432.21 is: 596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.53 : 1,078.53 = 432.21 : x
  2. Step 2: Convert to fraction form
    781.53/1,078.53 = 432.21/x
  3. Step 3: Cross multiply
    781.53x = 1,078.53 × 432.21
  4. Step 4: Simplify right side
    781.53x = 466,151.45
  5. Step 5: Solve for x
    x = 466,151.45/781.53
  6. Step 6: Final answer
    x = 596.46

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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.