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Finding the Fourth Proportional to 1,123.36, 1,549.20 and 724.54

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Solution

The fourth proportional to 1,123.36, 1,549.20 and 724.54 is: 999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,123.36 : 1,549.20 = 724.54 : x
  2. Step 2: Convert to fraction form
    1,123.36/1,549.20 = 724.54/x
  3. Step 3: Cross multiply
    1,123.36x = 1,549.20 × 724.54
  4. Step 4: Simplify right side
    1,123.36x = 1,122,453.50
  5. Step 5: Solve for x
    x = 1,122,453.50/1,123.36
  6. Step 6: Final answer
    x = 999.20

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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.