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Finding the Fourth Proportional to 816.10, 1,224.36 and 725.49

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Solution

The fourth proportional to 816.10, 1,224.36 and 725.49 is: 1,088.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.10 : 1,224.36 = 725.49 : x
  2. Step 2: Convert to fraction form
    816.10/1,224.36 = 725.49/x
  3. Step 3: Cross multiply
    816.10x = 1,224.36 × 725.49
  4. Step 4: Simplify right side
    816.10x = 888,260.94
  5. Step 5: Solve for x
    x = 888,260.94/816.10
  6. Step 6: Final answer
    x = 1,088.43

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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.