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Finding the Fourth Proportional to 791.15, 1,186.99 and 406.13

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Solution

The fourth proportional to 791.15, 1,186.99 and 406.13 is: 609.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.15 : 1,186.99 = 406.13 : x
  2. Step 2: Convert to fraction form
    791.15/1,186.99 = 406.13/x
  3. Step 3: Cross multiply
    791.15x = 1,186.99 × 406.13
  4. Step 4: Simplify right side
    791.15x = 482,065.30
  5. Step 5: Solve for x
    x = 482,065.30/791.15
  6. Step 6: Final answer
    x = 609.33

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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.