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Finding the Fourth Proportional to 1,067.20, 1,599.60 and 450.80

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Solution

The fourth proportional to 1,067.20, 1,599.60 and 450.80 is: 675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.20 : 1,599.60 = 450.80 : x
  2. Step 2: Convert to fraction form
    1,067.20/1,599.60 = 450.80/x
  3. Step 3: Cross multiply
    1,067.20x = 1,599.60 × 450.80
  4. Step 4: Simplify right side
    1,067.20x = 721,099.68
  5. Step 5: Solve for x
    x = 721,099.68/1,067.20
  6. Step 6: Final answer
    x = 675.69

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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.