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Finding the Fourth Proportional to 791.73, 1,189.71 and 426.78

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Solution

The fourth proportional to 791.73, 1,189.71 and 426.78 is: 641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.73 : 1,189.71 = 426.78 : x
  2. Step 2: Convert to fraction form
    791.73/1,189.71 = 426.78/x
  3. Step 3: Cross multiply
    791.73x = 1,189.71 × 426.78
  4. Step 4: Simplify right side
    791.73x = 507,744.43
  5. Step 5: Solve for x
    x = 507,744.43/791.73
  6. Step 6: Final answer
    x = 641.31

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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.