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Finding the Fourth Proportional to 1,067.53, 1,600.38 and 872.53

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Solution

The fourth proportional to 1,067.53, 1,600.38 and 872.53 is: 1,308.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.53 : 1,600.38 = 872.53 : x
  2. Step 2: Convert to fraction form
    1,067.53/1,600.38 = 872.53/x
  3. Step 3: Cross multiply
    1,067.53x = 1,600.38 × 872.53
  4. Step 4: Simplify right side
    1,067.53x = 1,396,379.56
  5. Step 5: Solve for x
    x = 1,396,379.56/1,067.53
  6. Step 6: Final answer
    x = 1,308.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.