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Finding the Fourth Proportional to 814.10, 1,229.44 and 814.10

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Solution

The fourth proportional to 814.10, 1,229.44 and 814.10 is: 1,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.10 : 1,229.44 = 814.10 : x
  2. Step 2: Convert to fraction form
    814.10/1,229.44 = 814.10/x
  3. Step 3: Cross multiply
    814.10x = 1,229.44 × 814.10
  4. Step 4: Simplify right side
    814.10x = 1,000,883.03
  5. Step 5: Solve for x
    x = 1,000,883.03/814.10
  6. Step 6: Final answer
    x = 1,229.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.