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Finding the Fourth Proportional to 1,067.83, 1,601.96 and 605.83

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Solution

The fourth proportional to 1,067.83, 1,601.96 and 605.83 is: 908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.83 : 1,601.96 = 605.83 : x
  2. Step 2: Convert to fraction form
    1,067.83/1,601.96 = 605.83/x
  3. Step 3: Cross multiply
    1,067.83x = 1,601.96 × 605.83
  4. Step 4: Simplify right side
    1,067.83x = 970,516.94
  5. Step 5: Solve for x
    x = 970,516.94/1,067.83
  6. Step 6: Final answer
    x = 908.87

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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.