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Finding the Fourth Proportional to 1,092.50, 1,508.89 and 742.58

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Solution

The fourth proportional to 1,092.50, 1,508.89 and 742.58 is: 1,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.50 : 1,508.89 = 742.58 : x
  2. Step 2: Convert to fraction form
    1,092.50/1,508.89 = 742.58/x
  3. Step 3: Cross multiply
    1,092.50x = 1,508.89 × 742.58
  4. Step 4: Simplify right side
    1,092.50x = 1,120,471.54
  5. Step 5: Solve for x
    x = 1,120,471.54/1,092.50
  6. Step 6: Final answer
    x = 1,025.60

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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.