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Finding the Fourth Proportional to 814.31, 1,123.76 and 441.30

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Solution

The fourth proportional to 814.31, 1,123.76 and 441.30 is: 609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.31 : 1,123.76 = 441.30 : x
  2. Step 2: Convert to fraction form
    814.31/1,123.76 = 441.30/x
  3. Step 3: Cross multiply
    814.31x = 1,123.76 × 441.30
  4. Step 4: Simplify right side
    814.31x = 495,915.29
  5. Step 5: Solve for x
    x = 495,915.29/814.31
  6. Step 6: Final answer
    x = 609.00

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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.