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Finding the Fourth Proportional to 1,454.36, 2,007 and 791.21

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Solution

The fourth proportional to 1,454.36, 2,007 and 791.21 is: 1,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.36 : 2,007 = 791.21 : x
  2. Step 2: Convert to fraction form
    1,454.36/2,007 = 791.21/x
  3. Step 3: Cross multiply
    1,454.36x = 2,007 × 791.21
  4. Step 4: Simplify right side
    1,454.36x = 1,587,963.49
  5. Step 5: Solve for x
    x = 1,587,963.49/1,454.36
  6. Step 6: Final answer
    x = 1,091.87

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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.