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Finding the Fourth Proportional to 1,067.69, 1,600.85 and 451.23

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Solution

The fourth proportional to 1,067.69, 1,600.85 and 451.23 is: 676.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.69 : 1,600.85 = 451.23 : x
  2. Step 2: Convert to fraction form
    1,067.69/1,600.85 = 451.23/x
  3. Step 3: Cross multiply
    1,067.69x = 1,600.85 × 451.23
  4. Step 4: Simplify right side
    1,067.69x = 722,349.29
  5. Step 5: Solve for x
    x = 722,349.29/1,067.69
  6. Step 6: Final answer
    x = 676.56

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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.