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Finding the Fourth Proportional to 791.38, 1,186.93 and 214.26

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Solution

The fourth proportional to 791.38, 1,186.93 and 214.26 is: 321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.38 : 1,186.93 = 214.26 : x
  2. Step 2: Convert to fraction form
    791.38/1,186.93 = 214.26/x
  3. Step 3: Cross multiply
    791.38x = 1,186.93 × 214.26
  4. Step 4: Simplify right side
    791.38x = 254,311.62
  5. Step 5: Solve for x
    x = 254,311.62/791.38
  6. Step 6: Final answer
    x = 321.35

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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.