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Finding the Fourth Proportional to 791.19, 1,184.34 and 516.69

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Solution

The fourth proportional to 791.19, 1,184.34 and 516.69 is: 773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.19 : 1,184.34 = 516.69 : x
  2. Step 2: Convert to fraction form
    791.19/1,184.34 = 516.69/x
  3. Step 3: Cross multiply
    791.19x = 1,184.34 × 516.69
  4. Step 4: Simplify right side
    791.19x = 611,936.63
  5. Step 5: Solve for x
    x = 611,936.63/791.19
  6. Step 6: Final answer
    x = 773.44

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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.