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Finding the Fourth Proportional to 1,454.42, 2,007.07 and 791.26

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Solution

The fourth proportional to 1,454.42, 2,007.07 and 791.26 is: 1,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.42 : 2,007.07 = 791.26 : x
  2. Step 2: Convert to fraction form
    1,454.42/2,007.07 = 791.26/x
  3. Step 3: Cross multiply
    1,454.42x = 2,007.07 × 791.26
  4. Step 4: Simplify right side
    1,454.42x = 1,588,107.21
  5. Step 5: Solve for x
    x = 1,588,107.21/1,454.42
  6. Step 6: Final answer
    x = 1,091.92

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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.