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Finding the Fourth Proportional to 791.27, 1,184.55 and 586.75

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Solution

The fourth proportional to 791.27, 1,184.55 and 586.75 is: 878.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.27 : 1,184.55 = 586.75 : x
  2. Step 2: Convert to fraction form
    791.27/1,184.55 = 586.75/x
  3. Step 3: Cross multiply
    791.27x = 1,184.55 × 586.75
  4. Step 4: Simplify right side
    791.27x = 695,034.71
  5. Step 5: Solve for x
    x = 695,034.71/791.27
  6. Step 6: Final answer
    x = 878.38

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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.