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Finding the Fourth Proportional to 724.44, 1,083.80 and 506.54

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Solution

The fourth proportional to 724.44, 1,083.80 and 506.54 is: 757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.44 : 1,083.80 = 506.54 : x
  2. Step 2: Convert to fraction form
    724.44/1,083.80 = 506.54/x
  3. Step 3: Cross multiply
    724.44x = 1,083.80 × 506.54
  4. Step 4: Simplify right side
    724.44x = 548,988.05
  5. Step 5: Solve for x
    x = 548,988.05/724.44
  6. Step 6: Final answer
    x = 757.81

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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.