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Finding the Fourth Proportional to 791.32, 1,186.83 and 214.24

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Solution

The fourth proportional to 791.32, 1,186.83 and 214.24 is: 321.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.32 : 1,186.83 = 214.24 : x
  2. Step 2: Convert to fraction form
    791.32/1,186.83 = 214.24/x
  3. Step 3: Cross multiply
    791.32x = 1,186.83 × 214.24
  4. Step 4: Simplify right side
    791.32x = 254,261.06
  5. Step 5: Solve for x
    x = 254,261.06/791.32
  6. Step 6: Final answer
    x = 321.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.