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Finding the Fourth Proportional to 823.12, 1,234.34 and 335.84

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Solution

The fourth proportional to 823.12, 1,234.34 and 335.84 is: 503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.12 : 1,234.34 = 335.84 : x
  2. Step 2: Convert to fraction form
    823.12/1,234.34 = 335.84/x
  3. Step 3: Cross multiply
    823.12x = 1,234.34 × 335.84
  4. Step 4: Simplify right side
    823.12x = 414,540.75
  5. Step 5: Solve for x
    x = 414,540.75/823.12
  6. Step 6: Final answer
    x = 503.62

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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.