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Finding the Fourth Proportional to 1,092.12, 1,637.04 and 543.96

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Solution

The fourth proportional to 1,092.12, 1,637.04 and 543.96 is: 815.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.12 : 1,637.04 = 543.96 : x
  2. Step 2: Convert to fraction form
    1,092.12/1,637.04 = 543.96/x
  3. Step 3: Cross multiply
    1,092.12x = 1,637.04 × 543.96
  4. Step 4: Simplify right side
    1,092.12x = 890,484.28
  5. Step 5: Solve for x
    x = 890,484.28/1,092.12
  6. Step 6: Final answer
    x = 815.37

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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.