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Finding the Fourth Proportional to 814.90, 1,144.10 and 814.90

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Solution

The fourth proportional to 814.90, 1,144.10 and 814.90 is: 1,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.90 : 1,144.10 = 814.90 : x
  2. Step 2: Convert to fraction form
    814.90/1,144.10 = 814.90/x
  3. Step 3: Cross multiply
    814.90x = 1,144.10 × 814.90
  4. Step 4: Simplify right side
    814.90x = 932,327.09
  5. Step 5: Solve for x
    x = 932,327.09/814.90
  6. Step 6: Final answer
    x = 1,144.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.