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Finding the Fourth Proportional to 812.62, 1,219.02 and 325.68

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Solution

The fourth proportional to 812.62, 1,219.02 and 325.68 is: 488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.62 : 1,219.02 = 325.68 : x
  2. Step 2: Convert to fraction form
    812.62/1,219.02 = 325.68/x
  3. Step 3: Cross multiply
    812.62x = 1,219.02 × 325.68
  4. Step 4: Simplify right side
    812.62x = 397,010.43
  5. Step 5: Solve for x
    x = 397,010.43/812.62
  6. Step 6: Final answer
    x = 488.56

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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.