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Finding the Fourth Proportional to 814.05, 1,123.47 and 499.47

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Solution

The fourth proportional to 814.05, 1,123.47 and 499.47 is: 689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.05 : 1,123.47 = 499.47 : x
  2. Step 2: Convert to fraction form
    814.05/1,123.47 = 499.47/x
  3. Step 3: Cross multiply
    814.05x = 1,123.47 × 499.47
  4. Step 4: Simplify right side
    814.05x = 561,139.56
  5. Step 5: Solve for x
    x = 561,139.56/814.05
  6. Step 6: Final answer
    x = 689.32

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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.