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Finding the Fourth Proportional to 1,321.82, 1,824.16 and 791.26

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Solution

The fourth proportional to 1,321.82, 1,824.16 and 791.26 is: 1,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.82 : 1,824.16 = 791.26 : x
  2. Step 2: Convert to fraction form
    1,321.82/1,824.16 = 791.26/x
  3. Step 3: Cross multiply
    1,321.82x = 1,824.16 × 791.26
  4. Step 4: Simplify right side
    1,321.82x = 1,443,384.84
  5. Step 5: Solve for x
    x = 1,443,384.84/1,321.82
  6. Step 6: Final answer
    x = 1,091.97

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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.