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Finding the Fourth Proportional to 1,067.81, 1,601.81 and 451.49

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Solution

The fourth proportional to 1,067.81, 1,601.81 and 451.49 is: 677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.81 : 1,601.81 = 451.49 : x
  2. Step 2: Convert to fraction form
    1,067.81/1,601.81 = 451.49/x
  3. Step 3: Cross multiply
    1,067.81x = 1,601.81 × 451.49
  4. Step 4: Simplify right side
    1,067.81x = 723,190.93
  5. Step 5: Solve for x
    x = 723,190.93/1,067.81
  6. Step 6: Final answer
    x = 677.27

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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.