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Finding the Fourth Proportional to 809.39, 1,213.25 and 424.91

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Solution

The fourth proportional to 809.39, 1,213.25 and 424.91 is: 636.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.39 : 1,213.25 = 424.91 : x
  2. Step 2: Convert to fraction form
    809.39/1,213.25 = 424.91/x
  3. Step 3: Cross multiply
    809.39x = 1,213.25 × 424.91
  4. Step 4: Simplify right side
    809.39x = 515,519.93
  5. Step 5: Solve for x
    x = 515,519.93/809.39
  6. Step 6: Final answer
    x = 636.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.