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Finding the Fourth Proportional to 1,092.33, 1,638.43 and 727.34

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Solution

The fourth proportional to 1,092.33, 1,638.43 and 727.34 is: 1,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.33 : 1,638.43 = 727.34 : x
  2. Step 2: Convert to fraction form
    1,092.33/1,638.43 = 727.34/x
  3. Step 3: Cross multiply
    1,092.33x = 1,638.43 × 727.34
  4. Step 4: Simplify right side
    1,092.33x = 1,191,685.67
  5. Step 5: Solve for x
    x = 1,191,685.67/1,092.33
  6. Step 6: Final answer
    x = 1,090.96

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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.