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Finding the Fourth Proportional to 1,092.33, 1,638.20 and 745.61

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Solution

The fourth proportional to 1,092.33, 1,638.20 and 745.61 is: 1,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.33 : 1,638.20 = 745.61 : x
  2. Step 2: Convert to fraction form
    1,092.33/1,638.20 = 745.61/x
  3. Step 3: Cross multiply
    1,092.33x = 1,638.20 × 745.61
  4. Step 4: Simplify right side
    1,092.33x = 1,221,451.98
  5. Step 5: Solve for x
    x = 1,221,451.98/1,092.33
  6. Step 6: Final answer
    x = 1,118.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.