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Finding the Fourth Proportional to 808.98, 1,213.11 and 397.86

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Solution

The fourth proportional to 808.98, 1,213.11 and 397.86 is: 596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.98 : 1,213.11 = 397.86 : x
  2. Step 2: Convert to fraction form
    808.98/1,213.11 = 397.86/x
  3. Step 3: Cross multiply
    808.98x = 1,213.11 × 397.86
  4. Step 4: Simplify right side
    808.98x = 482,647.94
  5. Step 5: Solve for x
    x = 482,647.94/808.98
  6. Step 6: Final answer
    x = 596.61

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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.