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Finding the Fourth Proportional to 814.04, 1,123.11 and 499.22

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Solution

The fourth proportional to 814.04, 1,123.11 and 499.22 is: 688.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.04 : 1,123.11 = 499.22 : x
  2. Step 2: Convert to fraction form
    814.04/1,123.11 = 499.22/x
  3. Step 3: Cross multiply
    814.04x = 1,123.11 × 499.22
  4. Step 4: Simplify right side
    814.04x = 560,673.36
  5. Step 5: Solve for x
    x = 560,673.36/814.04
  6. Step 6: Final answer
    x = 688.76

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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.