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Finding the Fourth Proportional to 809.93, 1,212.90 and 462.41

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Solution

The fourth proportional to 809.93, 1,212.90 and 462.41 is: 692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.93 : 1,212.90 = 462.41 : x
  2. Step 2: Convert to fraction form
    809.93/1,212.90 = 462.41/x
  3. Step 3: Cross multiply
    809.93x = 1,212.90 × 462.41
  4. Step 4: Simplify right side
    809.93x = 560,857.09
  5. Step 5: Solve for x
    x = 560,857.09/809.93
  6. Step 6: Final answer
    x = 692.48

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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.