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Finding the Fourth Proportional to 1,092.51, 1,641.21 and 659.97

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Solution

The fourth proportional to 1,092.51, 1,641.21 and 659.97 is: 991.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.51 : 1,641.21 = 659.97 : x
  2. Step 2: Convert to fraction form
    1,092.51/1,641.21 = 659.97/x
  3. Step 3: Cross multiply
    1,092.51x = 1,641.21 × 659.97
  4. Step 4: Simplify right side
    1,092.51x = 1,083,149.36
  5. Step 5: Solve for x
    x = 1,083,149.36/1,092.51
  6. Step 6: Final answer
    x = 991.43

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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.