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Finding the Fourth Proportional to 950.73, 1,425.24 and 512.22

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Solution

The fourth proportional to 950.73, 1,425.24 and 512.22 is: 767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.73 : 1,425.24 = 512.22 : x
  2. Step 2: Convert to fraction form
    950.73/1,425.24 = 512.22/x
  3. Step 3: Cross multiply
    950.73x = 1,425.24 × 512.22
  4. Step 4: Simplify right side
    950.73x = 730,036.43
  5. Step 5: Solve for x
    x = 730,036.43/950.73
  6. Step 6: Final answer
    x = 767.87

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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.