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Finding the Fourth Proportional to 823.05, 1,234.56 and 275.19

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Solution

The fourth proportional to 823.05, 1,234.56 and 275.19 is: 412.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.05 : 1,234.56 = 275.19 : x
  2. Step 2: Convert to fraction form
    823.05/1,234.56 = 275.19/x
  3. Step 3: Cross multiply
    823.05x = 1,234.56 × 275.19
  4. Step 4: Simplify right side
    823.05x = 339,738.57
  5. Step 5: Solve for x
    x = 339,738.57/823.05
  6. Step 6: Final answer
    x = 412.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.