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Finding the Fourth Proportional to 867, 1,196.91 and 535.61

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Solution

The fourth proportional to 867, 1,196.91 and 535.61 is: 739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    867 : 1,196.91 = 535.61 : x
  2. Step 2: Convert to fraction form
    867/1,196.91 = 535.61/x
  3. Step 3: Cross multiply
    867x = 1,196.91 × 535.61
  4. Step 4: Simplify right side
    867x = 641,070.98
  5. Step 5: Solve for x
    x = 641,070.98/867
  6. Step 6: Final answer
    x = 739.41

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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.