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Finding the Fourth Proportional to 814.72, 1,222.26 and 506.38

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Solution

The fourth proportional to 814.72, 1,222.26 and 506.38 is: 759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.72 : 1,222.26 = 506.38 : x
  2. Step 2: Convert to fraction form
    814.72/1,222.26 = 506.38/x
  3. Step 3: Cross multiply
    814.72x = 1,222.26 × 506.38
  4. Step 4: Simplify right side
    814.72x = 618,928.02
  5. Step 5: Solve for x
    x = 618,928.02/814.72
  6. Step 6: Final answer
    x = 759.68

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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.