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Finding the Fourth Proportional to 812.22, 1,219.02 and 325.62

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Solution

The fourth proportional to 812.22, 1,219.02 and 325.62 is: 488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.22 : 1,219.02 = 325.62 : x
  2. Step 2: Convert to fraction form
    812.22/1,219.02 = 325.62/x
  3. Step 3: Cross multiply
    812.22x = 1,219.02 × 325.62
  4. Step 4: Simplify right side
    812.22x = 396,931.20
  5. Step 5: Solve for x
    x = 396,931.20/812.22
  6. Step 6: Final answer
    x = 488.70

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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.