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Finding the Fourth Proportional to 781.50, 1,078.48 and 432.22

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Solution

The fourth proportional to 781.50, 1,078.48 and 432.22 is: 596.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.50 : 1,078.48 = 432.22 : x
  2. Step 2: Convert to fraction form
    781.50/1,078.48 = 432.22/x
  3. Step 3: Cross multiply
    781.50x = 1,078.48 × 432.22
  4. Step 4: Simplify right side
    781.50x = 466,140.63
  5. Step 5: Solve for x
    x = 466,140.63/781.50
  6. Step 6: Final answer
    x = 596.47

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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.