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Finding the Fourth Proportional to 791.16, 1,186.74 and 214.04

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Solution

The fourth proportional to 791.16, 1,186.74 and 214.04 is: 321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.16 : 1,186.74 = 214.04 : x
  2. Step 2: Convert to fraction form
    791.16/1,186.74 = 214.04/x
  3. Step 3: Cross multiply
    791.16x = 1,186.74 × 214.04
  4. Step 4: Simplify right side
    791.16x = 254,003.90
  5. Step 5: Solve for x
    x = 254,003.90/791.16
  6. Step 6: Final answer
    x = 321.05

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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.