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Finding the Fourth Proportional to 1,067.92, 1,602.33 and 451.76

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Solution

The fourth proportional to 1,067.92, 1,602.33 and 451.76 is: 677.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.92 : 1,602.33 = 451.76 : x
  2. Step 2: Convert to fraction form
    1,067.92/1,602.33 = 451.76/x
  3. Step 3: Cross multiply
    1,067.92x = 1,602.33 × 451.76
  4. Step 4: Simplify right side
    1,067.92x = 723,870.45
  5. Step 5: Solve for x
    x = 723,870.45/1,067.92
  6. Step 6: Final answer
    x = 677.83

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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.