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Finding the Fourth Proportional to 1,143.52, 1,578.46 and 724.58

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Solution

The fourth proportional to 1,143.52, 1,578.46 and 724.58 is: 1,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,143.52 : 1,578.46 = 724.58 : x
  2. Step 2: Convert to fraction form
    1,143.52/1,578.46 = 724.58/x
  3. Step 3: Cross multiply
    1,143.52x = 1,578.46 × 724.58
  4. Step 4: Simplify right side
    1,143.52x = 1,143,720.55
  5. Step 5: Solve for x
    x = 1,143,720.55/1,143.52
  6. Step 6: Final answer
    x = 1,000.18

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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.