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Finding the Fourth Proportional to 843.47, 1,163.81 and 494.09

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Solution

The fourth proportional to 843.47, 1,163.81 and 494.09 is: 681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.47 : 1,163.81 = 494.09 : x
  2. Step 2: Convert to fraction form
    843.47/1,163.81 = 494.09/x
  3. Step 3: Cross multiply
    843.47x = 1,163.81 × 494.09
  4. Step 4: Simplify right side
    843.47x = 575,022.30
  5. Step 5: Solve for x
    x = 575,022.30/843.47
  6. Step 6: Final answer
    x = 681.74

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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.