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Finding the Fourth Proportional to 823.39, 1,234.09 and 475.99

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Solution

The fourth proportional to 823.39, 1,234.09 and 475.99 is: 713.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.39 : 1,234.09 = 475.99 : x
  2. Step 2: Convert to fraction form
    823.39/1,234.09 = 475.99/x
  3. Step 3: Cross multiply
    823.39x = 1,234.09 × 475.99
  4. Step 4: Simplify right side
    823.39x = 587,414.50
  5. Step 5: Solve for x
    x = 587,414.50/823.39
  6. Step 6: Final answer
    x = 713.41

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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.