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Finding the Fourth Proportional to 1,306.85, 1,960.72 and 819.32

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Solution

The fourth proportional to 1,306.85, 1,960.72 and 819.32 is: 1,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.85 : 1,960.72 = 819.32 : x
  2. Step 2: Convert to fraction form
    1,306.85/1,960.72 = 819.32/x
  3. Step 3: Cross multiply
    1,306.85x = 1,960.72 × 819.32
  4. Step 4: Simplify right side
    1,306.85x = 1,606,445.26
  5. Step 5: Solve for x
    x = 1,606,445.26/1,306.85
  6. Step 6: Final answer
    x = 1,229.25

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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.