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Finding the Fourth Proportional to 837.52, 1,257.24 and 654.96

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Solution

The fourth proportional to 837.52, 1,257.24 and 654.96 is: 983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.52 : 1,257.24 = 654.96 : x
  2. Step 2: Convert to fraction form
    837.52/1,257.24 = 654.96/x
  3. Step 3: Cross multiply
    837.52x = 1,257.24 × 654.96
  4. Step 4: Simplify right side
    837.52x = 823,441.91
  5. Step 5: Solve for x
    x = 823,441.91/837.52
  6. Step 6: Final answer
    x = 983.19

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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.