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Finding the Fourth Proportional to 812.72, 1,219.16 and 299.60

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Solution

The fourth proportional to 812.72, 1,219.16 and 299.60 is: 449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.72 : 1,219.16 = 299.60 : x
  2. Step 2: Convert to fraction form
    812.72/1,219.16 = 299.60/x
  3. Step 3: Cross multiply
    812.72x = 1,219.16 × 299.60
  4. Step 4: Simplify right side
    812.72x = 365,260.34
  5. Step 5: Solve for x
    x = 365,260.34/812.72
  6. Step 6: Final answer
    x = 449.43

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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.