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Finding the Fourth Proportional to 814.03, 1,123.34 and 459.99

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Solution

The fourth proportional to 814.03, 1,123.34 and 459.99 is: 634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.03 : 1,123.34 = 459.99 : x
  2. Step 2: Convert to fraction form
    814.03/1,123.34 = 459.99/x
  3. Step 3: Cross multiply
    814.03x = 1,123.34 × 459.99
  4. Step 4: Simplify right side
    814.03x = 516,722.87
  5. Step 5: Solve for x
    x = 516,722.87/814.03
  6. Step 6: Final answer
    x = 634.77

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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.