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Finding the Fourth Proportional to 809.57, 1,213.48 and 462.15

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Solution

The fourth proportional to 809.57, 1,213.48 and 462.15 is: 692.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.57 : 1,213.48 = 462.15 : x
  2. Step 2: Convert to fraction form
    809.57/1,213.48 = 462.15/x
  3. Step 3: Cross multiply
    809.57x = 1,213.48 × 462.15
  4. Step 4: Simplify right side
    809.57x = 560,809.78
  5. Step 5: Solve for x
    x = 560,809.78/809.57
  6. Step 6: Final answer
    x = 692.73

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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.