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Finding the Fourth Proportional to 814.03, 1,123.29 and 482.56

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Solution

The fourth proportional to 814.03, 1,123.29 and 482.56 is: 665.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.03 : 1,123.29 = 482.56 : x
  2. Step 2: Convert to fraction form
    814.03/1,123.29 = 482.56/x
  3. Step 3: Cross multiply
    814.03x = 1,123.29 × 482.56
  4. Step 4: Simplify right side
    814.03x = 542,049.21
  5. Step 5: Solve for x
    x = 542,049.21/814.03
  6. Step 6: Final answer
    x = 665.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.