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Finding the Fourth Proportional to 1,454.26, 2,006.91 and 791.11

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Solution

The fourth proportional to 1,454.26, 2,006.91 and 791.11 is: 1,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.26 : 2,006.91 = 791.11 : x
  2. Step 2: Convert to fraction form
    1,454.26/2,006.91 = 791.11/x
  3. Step 3: Cross multiply
    1,454.26x = 2,006.91 × 791.11
  4. Step 4: Simplify right side
    1,454.26x = 1,587,698.94
  5. Step 5: Solve for x
    x = 1,587,698.94/1,454.26
  6. Step 6: Final answer
    x = 1,091.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.