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Finding the Fourth Proportional to 809.35, 1,213.17 and 461.94

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Solution

The fourth proportional to 809.35, 1,213.17 and 461.94 is: 692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.35 : 1,213.17 = 461.94 : x
  2. Step 2: Convert to fraction form
    809.35/1,213.17 = 461.94/x
  3. Step 3: Cross multiply
    809.35x = 1,213.17 × 461.94
  4. Step 4: Simplify right side
    809.35x = 560,411.75
  5. Step 5: Solve for x
    x = 560,411.75/809.35
  6. Step 6: Final answer
    x = 692.42

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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.