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Finding the Fourth Proportional to 1,067.72, 1,602.07 and 451.57

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Solution

The fourth proportional to 1,067.72, 1,602.07 and 451.57 is: 677.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.72 : 1,602.07 = 451.57 : x
  2. Step 2: Convert to fraction form
    1,067.72/1,602.07 = 451.57/x
  3. Step 3: Cross multiply
    1,067.72x = 1,602.07 × 451.57
  4. Step 4: Simplify right side
    1,067.72x = 723,443.87
  5. Step 5: Solve for x
    x = 723,443.87/1,067.72
  6. Step 6: Final answer
    x = 677.56

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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.