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Finding the Fourth Proportional to 1,248.37, 1,722.19 and 724.09

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Solution

The fourth proportional to 1,248.37, 1,722.19 and 724.09 is: 998.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.37 : 1,722.19 = 724.09 : x
  2. Step 2: Convert to fraction form
    1,248.37/1,722.19 = 724.09/x
  3. Step 3: Cross multiply
    1,248.37x = 1,722.19 × 724.09
  4. Step 4: Simplify right side
    1,248.37x = 1,247,020.56
  5. Step 5: Solve for x
    x = 1,247,020.56/1,248.37
  6. Step 6: Final answer
    x = 998.92

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