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Finding the Fourth Proportional to 1,067.16, 1,600.80 and 450.92

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Solution

The fourth proportional to 1,067.16, 1,600.80 and 450.92 is: 676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.16 : 1,600.80 = 450.92 : x
  2. Step 2: Convert to fraction form
    1,067.16/1,600.80 = 450.92/x
  3. Step 3: Cross multiply
    1,067.16x = 1,600.80 × 450.92
  4. Step 4: Simplify right side
    1,067.16x = 721,832.74
  5. Step 5: Solve for x
    x = 721,832.74/1,067.16
  6. Step 6: Final answer
    x = 676.41

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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.