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Finding the Fourth Proportional to 1,412.58, 1,949.29 and 791.46

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Solution

The fourth proportional to 1,412.58, 1,949.29 and 791.46 is: 1,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.58 : 1,949.29 = 791.46 : x
  2. Step 2: Convert to fraction form
    1,412.58/1,949.29 = 791.46/x
  3. Step 3: Cross multiply
    1,412.58x = 1,949.29 × 791.46
  4. Step 4: Simplify right side
    1,412.58x = 1,542,785.06
  5. Step 5: Solve for x
    x = 1,542,785.06/1,412.58
  6. Step 6: Final answer
    x = 1,092.18

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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.