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Finding the Fourth Proportional to 812.18, 1,216.45 and 629.02

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Solution

The fourth proportional to 812.18, 1,216.45 and 629.02 is: 942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.18 : 1,216.45 = 629.02 : x
  2. Step 2: Convert to fraction form
    812.18/1,216.45 = 629.02/x
  3. Step 3: Cross multiply
    812.18x = 1,216.45 × 629.02
  4. Step 4: Simplify right side
    812.18x = 765,171.38
  5. Step 5: Solve for x
    x = 765,171.38/812.18
  6. Step 6: Final answer
    x = 942.12

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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.