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Finding the Fourth Proportional to 1,350.60, 1,864.13 and 791.33

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Solution

The fourth proportional to 1,350.60, 1,864.13 and 791.33 is: 1,092.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.60 : 1,864.13 = 791.33 : x
  2. Step 2: Convert to fraction form
    1,350.60/1,864.13 = 791.33/x
  3. Step 3: Cross multiply
    1,350.60x = 1,864.13 × 791.33
  4. Step 4: Simplify right side
    1,350.60x = 1,475,128.72
  5. Step 5: Solve for x
    x = 1,475,128.72/1,350.60
  6. Step 6: Final answer
    x = 1,092.20

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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.