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Finding the Fourth Proportional to 843.67, 1,163.54 and 634.35

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Solution

The fourth proportional to 843.67, 1,163.54 and 634.35 is: 874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.67 : 1,163.54 = 634.35 : x
  2. Step 2: Convert to fraction form
    843.67/1,163.54 = 634.35/x
  3. Step 3: Cross multiply
    843.67x = 1,163.54 × 634.35
  4. Step 4: Simplify right side
    843.67x = 738,093.18
  5. Step 5: Solve for x
    x = 738,093.18/843.67
  6. Step 6: Final answer
    x = 874.86

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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.