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Finding the Fourth Proportional to 809.17, 1,213.85 and 397.96

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Solution

The fourth proportional to 809.17, 1,213.85 and 397.96 is: 596.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.17 : 1,213.85 = 397.96 : x
  2. Step 2: Convert to fraction form
    809.17/1,213.85 = 397.96/x
  3. Step 3: Cross multiply
    809.17x = 1,213.85 × 397.96
  4. Step 4: Simplify right side
    809.17x = 483,055.69
  5. Step 5: Solve for x
    x = 483,055.69/809.17
  6. Step 6: Final answer
    x = 596.98

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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.