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Finding the Fourth Proportional to 962.46, 1,327.97 and 752.27

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Solution

The fourth proportional to 962.46, 1,327.97 and 752.27 is: 1,037.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.46 : 1,327.97 = 752.27 : x
  2. Step 2: Convert to fraction form
    962.46/1,327.97 = 752.27/x
  3. Step 3: Cross multiply
    962.46x = 1,327.97 × 752.27
  4. Step 4: Simplify right side
    962.46x = 998,981.59
  5. Step 5: Solve for x
    x = 998,981.59/962.46
  6. Step 6: Final answer
    x = 1,037.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.