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Finding the Fourth Proportional to 1,350.78, 1,864.28 and 791.24

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Solution

The fourth proportional to 1,350.78, 1,864.28 and 791.24 is: 1,092.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.78 : 1,864.28 = 791.24 : x
  2. Step 2: Convert to fraction form
    1,350.78/1,864.28 = 791.24/x
  3. Step 3: Cross multiply
    1,350.78x = 1,864.28 × 791.24
  4. Step 4: Simplify right side
    1,350.78x = 1,475,092.91
  5. Step 5: Solve for x
    x = 1,475,092.91/1,350.78
  6. Step 6: Final answer
    x = 1,092.03

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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.