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Finding the Fourth Proportional to 816.72, 1,226.16 and 544.56

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Solution

The fourth proportional to 816.72, 1,226.16 and 544.56 is: 817.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.72 : 1,226.16 = 544.56 : x
  2. Step 2: Convert to fraction form
    816.72/1,226.16 = 544.56/x
  3. Step 3: Cross multiply
    816.72x = 1,226.16 × 544.56
  4. Step 4: Simplify right side
    816.72x = 667,717.69
  5. Step 5: Solve for x
    x = 667,717.69/816.72
  6. Step 6: Final answer
    x = 817.56

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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.