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Finding the Fourth Proportional to 812.26, 1,215.78 and 446.14

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Solution

The fourth proportional to 812.26, 1,215.78 and 446.14 is: 667.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.26 : 1,215.78 = 446.14 : x
  2. Step 2: Convert to fraction form
    812.26/1,215.78 = 446.14/x
  3. Step 3: Cross multiply
    812.26x = 1,215.78 × 446.14
  4. Step 4: Simplify right side
    812.26x = 542,408.09
  5. Step 5: Solve for x
    x = 542,408.09/812.26
  6. Step 6: Final answer
    x = 667.78

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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.