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Finding the Fourth Proportional to 951.06, 1,425.67 and 431.20

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Solution

The fourth proportional to 951.06, 1,425.67 and 431.20 is: 646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.06 : 1,425.67 = 431.20 : x
  2. Step 2: Convert to fraction form
    951.06/1,425.67 = 431.20/x
  3. Step 3: Cross multiply
    951.06x = 1,425.67 × 431.20
  4. Step 4: Simplify right side
    951.06x = 614,744.26
  5. Step 5: Solve for x
    x = 614,744.26/951.06
  6. Step 6: Final answer
    x = 646.38

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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.