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Finding the Fourth Proportional to 812.27, 1,216.85 and 683.12

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Solution

The fourth proportional to 812.27, 1,216.85 and 683.12 is: 1,023.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.27 : 1,216.85 = 683.12 : x
  2. Step 2: Convert to fraction form
    812.27/1,216.85 = 683.12/x
  3. Step 3: Cross multiply
    812.27x = 1,216.85 × 683.12
  4. Step 4: Simplify right side
    812.27x = 831,245.07
  5. Step 5: Solve for x
    x = 831,245.07/812.27
  6. Step 6: Final answer
    x = 1,023.37

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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.