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Finding the Fourth Proportional to 1,412, 1,948.74 and 791.12

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Solution

The fourth proportional to 1,412, 1,948.74 and 791.12 is: 1,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412 : 1,948.74 = 791.12 : x
  2. Step 2: Convert to fraction form
    1,412/1,948.74 = 791.12/x
  3. Step 3: Cross multiply
    1,412x = 1,948.74 × 791.12
  4. Step 4: Simplify right side
    1,412x = 1,541,687.19
  5. Step 5: Solve for x
    x = 1,541,687.19/1,412
  6. Step 6: Final answer
    x = 1,091.85

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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.