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Finding the Fourth Proportional to 812.22, 1,217.58 and 325.14

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Solution

The fourth proportional to 812.22, 1,217.58 and 325.14 is: 487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.22 : 1,217.58 = 325.14 : x
  2. Step 2: Convert to fraction form
    812.22/1,217.58 = 325.14/x
  3. Step 3: Cross multiply
    812.22x = 1,217.58 × 325.14
  4. Step 4: Simplify right side
    812.22x = 395,883.96
  5. Step 5: Solve for x
    x = 395,883.96/812.22
  6. Step 6: Final answer
    x = 487.41

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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.