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Finding the Fourth Proportional to 1,117, 1,542 and 724.48

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Solution

The fourth proportional to 1,117, 1,542 and 724.48 is: 1,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117 : 1,542 = 724.48 : x
  2. Step 2: Convert to fraction form
    1,117/1,542 = 724.48/x
  3. Step 3: Cross multiply
    1,117x = 1,542 × 724.48
  4. Step 4: Simplify right side
    1,117x = 1,117,148.16
  5. Step 5: Solve for x
    x = 1,117,148.16/1,117
  6. Step 6: Final answer
    x = 1,000.13

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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.