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Finding the Fourth Proportional to 1,279.67, 1,764.33 and 836.87

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Solution

The fourth proportional to 1,279.67, 1,764.33 and 836.87 is: 1,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.67 : 1,764.33 = 836.87 : x
  2. Step 2: Convert to fraction form
    1,279.67/1,764.33 = 836.87/x
  3. Step 3: Cross multiply
    1,279.67x = 1,764.33 × 836.87
  4. Step 4: Simplify right side
    1,279.67x = 1,476,514.85
  5. Step 5: Solve for x
    x = 1,476,514.85/1,279.67
  6. Step 6: Final answer
    x = 1,153.82

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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.