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Finding the Fourth Proportional to 1,099.92, 1,642.34 and 937.52

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Solution

The fourth proportional to 1,099.92, 1,642.34 and 937.52 is: 1,399.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.92 : 1,642.34 = 937.52 : x
  2. Step 2: Convert to fraction form
    1,099.92/1,642.34 = 937.52/x
  3. Step 3: Cross multiply
    1,099.92x = 1,642.34 × 937.52
  4. Step 4: Simplify right side
    1,099.92x = 1,539,726.60
  5. Step 5: Solve for x
    x = 1,539,726.60/1,099.92
  6. Step 6: Final answer
    x = 1,399.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.