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Finding the Fourth Proportional to 1,380.97, 1,905.96 and 791.56

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Solution

The fourth proportional to 1,380.97, 1,905.96 and 791.56 is: 1,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.97 : 1,905.96 = 791.56 : x
  2. Step 2: Convert to fraction form
    1,380.97/1,905.96 = 791.56/x
  3. Step 3: Cross multiply
    1,380.97x = 1,905.96 × 791.56
  4. Step 4: Simplify right side
    1,380.97x = 1,508,681.70
  5. Step 5: Solve for x
    x = 1,508,681.70/1,380.97
  6. Step 6: Final answer
    x = 1,092.48

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1.5x scale

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.