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Finding the Fourth Proportional to 791.10, 1,186.84 and 271.08

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Solution

The fourth proportional to 791.10, 1,186.84 and 271.08 is: 406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.10 : 1,186.84 = 271.08 : x
  2. Step 2: Convert to fraction form
    791.10/1,186.84 = 271.08/x
  3. Step 3: Cross multiply
    791.10x = 1,186.84 × 271.08
  4. Step 4: Simplify right side
    791.10x = 321,727.40
  5. Step 5: Solve for x
    x = 321,727.40/791.10
  6. Step 6: Final answer
    x = 406.68

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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.