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Finding the Fourth Proportional to 1,676.25, 2,512.42 and 579.65

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Solution

The fourth proportional to 1,676.25, 2,512.42 and 579.65 is: 868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.25 : 2,512.42 = 579.65 : x
  2. Step 2: Convert to fraction form
    1,676.25/2,512.42 = 579.65/x
  3. Step 3: Cross multiply
    1,676.25x = 2,512.42 × 579.65
  4. Step 4: Simplify right side
    1,676.25x = 1,456,310.24
  5. Step 5: Solve for x
    x = 1,456,310.24/1,676.25
  6. Step 6: Final answer
    x = 868.79

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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.