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Finding the Fourth Proportional to 944.52, 1,414.30 and 759.82

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Solution

The fourth proportional to 944.52, 1,414.30 and 759.82 is: 1,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.52 : 1,414.30 = 759.82 : x
  2. Step 2: Convert to fraction form
    944.52/1,414.30 = 759.82/x
  3. Step 3: Cross multiply
    944.52x = 1,414.30 × 759.82
  4. Step 4: Simplify right side
    944.52x = 1,074,613.43
  5. Step 5: Solve for x
    x = 1,074,613.43/944.52
  6. Step 6: Final answer
    x = 1,137.73

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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.