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Finding the Fourth Proportional to 1,067.87, 1,605.39 and 851.22

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Solution

The fourth proportional to 1,067.87, 1,605.39 and 851.22 is: 1,279.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.87 : 1,605.39 = 851.22 : x
  2. Step 2: Convert to fraction form
    1,067.87/1,605.39 = 851.22/x
  3. Step 3: Cross multiply
    1,067.87x = 1,605.39 × 851.22
  4. Step 4: Simplify right side
    1,067.87x = 1,366,546.32
  5. Step 5: Solve for x
    x = 1,366,546.32/1,067.87
  6. Step 6: Final answer
    x = 1,279.69

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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.