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Finding the Fourth Proportional to 791.26, 1,186.89 and 214.14

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Solution

The fourth proportional to 791.26, 1,186.89 and 214.14 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.26 : 1,186.89 = 214.14 : x
  2. Step 2: Convert to fraction form
    791.26/1,186.89 = 214.14/x
  3. Step 3: Cross multiply
    791.26x = 1,186.89 × 214.14
  4. Step 4: Simplify right side
    791.26x = 254,158.80
  5. Step 5: Solve for x
    x = 254,158.80/791.26
  6. Step 6: Final answer
    x = 321.21

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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.