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Finding the Fourth Proportional to 809.06, 1,211.84 and 462.21

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Solution

The fourth proportional to 809.06, 1,211.84 and 462.21 is: 692.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.06 : 1,211.84 = 462.21 : x
  2. Step 2: Convert to fraction form
    809.06/1,211.84 = 462.21/x
  3. Step 3: Cross multiply
    809.06x = 1,211.84 × 462.21
  4. Step 4: Simplify right side
    809.06x = 560,119.44
  5. Step 5: Solve for x
    x = 560,119.44/809.06
  6. Step 6: Final answer
    x = 692.31

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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.