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Finding the Fourth Proportional to 906.57, 1,251.59 and 596.97

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Solution

The fourth proportional to 906.57, 1,251.59 and 596.97 is: 824.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.57 : 1,251.59 = 596.97 : x
  2. Step 2: Convert to fraction form
    906.57/1,251.59 = 596.97/x
  3. Step 3: Cross multiply
    906.57x = 1,251.59 × 596.97
  4. Step 4: Simplify right side
    906.57x = 747,158.70
  5. Step 5: Solve for x
    x = 747,158.70/906.57
  6. Step 6: Final answer
    x = 824.16

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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.