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Finding the Fourth Proportional to 1,067.82, 1,601.94 and 451.53

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Solution

The fourth proportional to 1,067.82, 1,601.94 and 451.53 is: 677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.82 : 1,601.94 = 451.53 : x
  2. Step 2: Convert to fraction form
    1,067.82/1,601.94 = 451.53/x
  3. Step 3: Cross multiply
    1,067.82x = 1,601.94 × 451.53
  4. Step 4: Simplify right side
    1,067.82x = 723,323.97
  5. Step 5: Solve for x
    x = 723,323.97/1,067.82
  6. Step 6: Final answer
    x = 677.38

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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.