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Finding the Fourth Proportional to 809.02, 1,213.49 and 224.02

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Solution

The fourth proportional to 809.02, 1,213.49 and 224.02 is: 336.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.02 : 1,213.49 = 224.02 : x
  2. Step 2: Convert to fraction form
    809.02/1,213.49 = 224.02/x
  3. Step 3: Cross multiply
    809.02x = 1,213.49 × 224.02
  4. Step 4: Simplify right side
    809.02x = 271,846.03
  5. Step 5: Solve for x
    x = 271,846.03/809.02
  6. Step 6: Final answer
    x = 336.02

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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.