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Finding the Fourth Proportional to 809.14, 1,213.52 and 346.70

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Solution

The fourth proportional to 809.14, 1,213.52 and 346.70 is: 519.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.14 : 1,213.52 = 346.70 : x
  2. Step 2: Convert to fraction form
    809.14/1,213.52 = 346.70/x
  3. Step 3: Cross multiply
    809.14x = 1,213.52 × 346.70
  4. Step 4: Simplify right side
    809.14x = 420,727.38
  5. Step 5: Solve for x
    x = 420,727.38/809.14
  6. Step 6: Final answer
    x = 519.97

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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.