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Finding the Fourth Proportional to 951.88, 1,427.38 and 431.86

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Solution

The fourth proportional to 951.88, 1,427.38 and 431.86 is: 647.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.88 : 1,427.38 = 431.86 : x
  2. Step 2: Convert to fraction form
    951.88/1,427.38 = 431.86/x
  3. Step 3: Cross multiply
    951.88x = 1,427.38 × 431.86
  4. Step 4: Simplify right side
    951.88x = 616,425.38
  5. Step 5: Solve for x
    x = 616,425.38/951.88
  6. Step 6: Final answer
    x = 647.59

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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.