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Finding the Fourth Proportional to 791.23, 1,186.76 and 214.06

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Solution

The fourth proportional to 791.23, 1,186.76 and 214.06 is: 321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.23 : 1,186.76 = 214.06 : x
  2. Step 2: Convert to fraction form
    791.23/1,186.76 = 214.06/x
  3. Step 3: Cross multiply
    791.23x = 1,186.76 × 214.06
  4. Step 4: Simplify right side
    791.23x = 254,040.54
  5. Step 5: Solve for x
    x = 254,040.54/791.23
  6. Step 6: Final answer
    x = 321.07

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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.