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Finding the Fourth Proportional to 1,257.36, 1,735.20 and 791.52

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Solution

The fourth proportional to 1,257.36, 1,735.20 and 791.52 is: 1,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.36 : 1,735.20 = 791.52 : x
  2. Step 2: Convert to fraction form
    1,257.36/1,735.20 = 791.52/x
  3. Step 3: Cross multiply
    1,257.36x = 1,735.20 × 791.52
  4. Step 4: Simplify right side
    1,257.36x = 1,373,445.50
  5. Step 5: Solve for x
    x = 1,373,445.50/1,257.36
  6. Step 6: Final answer
    x = 1,092.32

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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.