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Finding the Fourth Proportional to 837.81, 1,252.31 and 727.24

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Solution

The fourth proportional to 837.81, 1,252.31 and 727.24 is: 1,087.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.81 : 1,252.31 = 727.24 : x
  2. Step 2: Convert to fraction form
    837.81/1,252.31 = 727.24/x
  3. Step 3: Cross multiply
    837.81x = 1,252.31 × 727.24
  4. Step 4: Simplify right side
    837.81x = 910,729.92
  5. Step 5: Solve for x
    x = 910,729.92/837.81
  6. Step 6: Final answer
    x = 1,087.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.