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Finding the Fourth Proportional to 1,067.96, 1,600.98 and 374.15

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Solution

The fourth proportional to 1,067.96, 1,600.98 and 374.15 is: 560.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.96 : 1,600.98 = 374.15 : x
  2. Step 2: Convert to fraction form
    1,067.96/1,600.98 = 374.15/x
  3. Step 3: Cross multiply
    1,067.96x = 1,600.98 × 374.15
  4. Step 4: Simplify right side
    1,067.96x = 598,998.66
  5. Step 5: Solve for x
    x = 598,998.66/1,067.96
  6. Step 6: Final answer
    x = 560.88

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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.