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Finding the Fourth Proportional to 951.83, 1,425.76 and 765.73

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Solution

The fourth proportional to 951.83, 1,425.76 and 765.73 is: 1,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.83 : 1,425.76 = 765.73 : x
  2. Step 2: Convert to fraction form
    951.83/1,425.76 = 765.73/x
  3. Step 3: Cross multiply
    951.83x = 1,425.76 × 765.73
  4. Step 4: Simplify right side
    951.83x = 1,091,736.25
  5. Step 5: Solve for x
    x = 1,091,736.25/951.83
  6. Step 6: Final answer
    x = 1,146.99

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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.