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Finding the Fourth Proportional to 812.56, 1,219.44 and 523.96

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Solution

The fourth proportional to 812.56, 1,219.44 and 523.96 is: 786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.56 : 1,219.44 = 523.96 : x
  2. Step 2: Convert to fraction form
    812.56/1,219.44 = 523.96/x
  3. Step 3: Cross multiply
    812.56x = 1,219.44 × 523.96
  4. Step 4: Simplify right side
    812.56x = 638,937.78
  5. Step 5: Solve for x
    x = 638,937.78/812.56
  6. Step 6: Final answer
    x = 786.33

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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.