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Finding the Fourth Proportional to 791.75, 1,187.55 and 271.94

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Solution

The fourth proportional to 791.75, 1,187.55 and 271.94 is: 407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.75 : 1,187.55 = 271.94 : x
  2. Step 2: Convert to fraction form
    791.75/1,187.55 = 271.94/x
  3. Step 3: Cross multiply
    791.75x = 1,187.55 × 271.94
  4. Step 4: Simplify right side
    791.75x = 322,936.41
  5. Step 5: Solve for x
    x = 322,936.41/791.75
  6. Step 6: Final answer
    x = 407.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.