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Finding the Fourth Proportional to 1,122.33, 1,549.56 and 724.17

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Solution

The fourth proportional to 1,122.33, 1,549.56 and 724.17 is: 999.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.33 : 1,549.56 = 724.17 : x
  2. Step 2: Convert to fraction form
    1,122.33/1,549.56 = 724.17/x
  3. Step 3: Cross multiply
    1,122.33x = 1,549.56 × 724.17
  4. Step 4: Simplify right side
    1,122.33x = 1,122,141.24
  5. Step 5: Solve for x
    x = 1,122,141.24/1,122.33
  6. Step 6: Final answer
    x = 999.83

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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.