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Finding the Fourth Proportional to 951.39, 1,422.90 and 560.43

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Solution

The fourth proportional to 951.39, 1,422.90 and 560.43 is: 838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.39 : 1,422.90 = 560.43 : x
  2. Step 2: Convert to fraction form
    951.39/1,422.90 = 560.43/x
  3. Step 3: Cross multiply
    951.39x = 1,422.90 × 560.43
  4. Step 4: Simplify right side
    951.39x = 797,435.85
  5. Step 5: Solve for x
    x = 797,435.85/951.39
  6. Step 6: Final answer
    x = 838.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.