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Finding the Fourth Proportional to 869.22, 1,305.45 and 796.95

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Solution

The fourth proportional to 869.22, 1,305.45 and 796.95 is: 1,196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.22 : 1,305.45 = 796.95 : x
  2. Step 2: Convert to fraction form
    869.22/1,305.45 = 796.95/x
  3. Step 3: Cross multiply
    869.22x = 1,305.45 × 796.95
  4. Step 4: Simplify right side
    869.22x = 1,040,378.38
  5. Step 5: Solve for x
    x = 1,040,378.38/869.22
  6. Step 6: Final answer
    x = 1,196.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.