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Finding the Fourth Proportional to 1,162.22, 1,743.36 and 932.57

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Solution

The fourth proportional to 1,162.22, 1,743.36 and 932.57 is: 1,398.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.22 : 1,743.36 = 932.57 : x
  2. Step 2: Convert to fraction form
    1,162.22/1,743.36 = 932.57/x
  3. Step 3: Cross multiply
    1,162.22x = 1,743.36 × 932.57
  4. Step 4: Simplify right side
    1,162.22x = 1,625,805.24
  5. Step 5: Solve for x
    x = 1,625,805.24/1,162.22
  6. Step 6: Final answer
    x = 1,398.88

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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.