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Finding the Fourth Proportional to 843.59, 1,163.98 and 494.21

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Solution

The fourth proportional to 843.59, 1,163.98 and 494.21 is: 681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.59 : 1,163.98 = 494.21 : x
  2. Step 2: Convert to fraction form
    843.59/1,163.98 = 494.21/x
  3. Step 3: Cross multiply
    843.59x = 1,163.98 × 494.21
  4. Step 4: Simplify right side
    843.59x = 575,250.56
  5. Step 5: Solve for x
    x = 575,250.56/843.59
  6. Step 6: Final answer
    x = 681.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.