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Finding the Fourth Proportional to 1,067.96, 1,600.86 and 374.16

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Solution

The fourth proportional to 1,067.96, 1,600.86 and 374.16 is: 560.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.96 : 1,600.86 = 374.16 : x
  2. Step 2: Convert to fraction form
    1,067.96/1,600.86 = 374.16/x
  3. Step 3: Cross multiply
    1,067.96x = 1,600.86 × 374.16
  4. Step 4: Simplify right side
    1,067.96x = 598,977.78
  5. Step 5: Solve for x
    x = 598,977.78/1,067.96
  6. Step 6: Final answer
    x = 560.86

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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.