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Finding the Fourth Proportional to 823.26, 1,234.46 and 275.42

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Solution

The fourth proportional to 823.26, 1,234.46 and 275.42 is: 412.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,234.46 = 275.42 : x
  2. Step 2: Convert to fraction form
    823.26/1,234.46 = 275.42/x
  3. Step 3: Cross multiply
    823.26x = 1,234.46 × 275.42
  4. Step 4: Simplify right side
    823.26x = 339,994.97
  5. Step 5: Solve for x
    x = 339,994.97/823.26
  6. Step 6: Final answer
    x = 412.99

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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.