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Finding the Fourth Proportional to 812.53, 1,216.91 and 629.34

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Solution

The fourth proportional to 812.53, 1,216.91 and 629.34 is: 942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.53 : 1,216.91 = 629.34 : x
  2. Step 2: Convert to fraction form
    812.53/1,216.91 = 629.34/x
  3. Step 3: Cross multiply
    812.53x = 1,216.91 × 629.34
  4. Step 4: Simplify right side
    812.53x = 765,845.52
  5. Step 5: Solve for x
    x = 765,845.52/812.53
  6. Step 6: Final answer
    x = 942.54

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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.