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Finding the Fourth Proportional to 1,412.24, 1,948.89 and 791.24

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Solution

The fourth proportional to 1,412.24, 1,948.89 and 791.24 is: 1,091.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.24 : 1,948.89 = 791.24 : x
  2. Step 2: Convert to fraction form
    1,412.24/1,948.89 = 791.24/x
  3. Step 3: Cross multiply
    1,412.24x = 1,948.89 × 791.24
  4. Step 4: Simplify right side
    1,412.24x = 1,542,036.76
  5. Step 5: Solve for x
    x = 1,542,036.76/1,412.24
  6. Step 6: Final answer
    x = 1,091.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.