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Finding the Fourth Proportional to 814.00, 1,123.04 and 459.88

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Solution

The fourth proportional to 814.00, 1,123.04 and 459.88 is: 634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.00 : 1,123.04 = 459.88 : x
  2. Step 2: Convert to fraction form
    814.00/1,123.04 = 459.88/x
  3. Step 3: Cross multiply
    814.00x = 1,123.04 × 459.88
  4. Step 4: Simplify right side
    814.00x = 516,455.72
  5. Step 5: Solve for x
    x = 516,455.72/814.00
  6. Step 6: Final answer
    x = 634.47

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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.