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Finding the Fourth Proportional to 843.41, 1,163.97 and 511.84

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Solution

The fourth proportional to 843.41, 1,163.97 and 511.84 is: 706.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.41 : 1,163.97 = 511.84 : x
  2. Step 2: Convert to fraction form
    843.41/1,163.97 = 511.84/x
  3. Step 3: Cross multiply
    843.41x = 1,163.97 × 511.84
  4. Step 4: Simplify right side
    843.41x = 595,761.31
  5. Step 5: Solve for x
    x = 595,761.31/843.41
  6. Step 6: Final answer
    x = 706.37

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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.