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Finding the Fourth Proportional to 1,580.97, 2,371.02 and 484.73

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Solution

The fourth proportional to 1,580.97, 2,371.02 and 484.73 is: 726.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.97 : 2,371.02 = 484.73 : x
  2. Step 2: Convert to fraction form
    1,580.97/2,371.02 = 484.73/x
  3. Step 3: Cross multiply
    1,580.97x = 2,371.02 × 484.73
  4. Step 4: Simplify right side
    1,580.97x = 1,149,304.52
  5. Step 5: Solve for x
    x = 1,149,304.52/1,580.97
  6. Step 6: Final answer
    x = 726.96

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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.