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Finding the Fourth Proportional to 1,067.27, 1,600.26 and 450.65

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Solution

The fourth proportional to 1,067.27, 1,600.26 and 450.65 is: 675.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.27 : 1,600.26 = 450.65 : x
  2. Step 2: Convert to fraction form
    1,067.27/1,600.26 = 450.65/x
  3. Step 3: Cross multiply
    1,067.27x = 1,600.26 × 450.65
  4. Step 4: Simplify right side
    1,067.27x = 721,157.17
  5. Step 5: Solve for x
    x = 721,157.17/1,067.27
  6. Step 6: Final answer
    x = 675.70

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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.