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Finding the Fourth Proportional to 814, 1,123.32 and 464.90

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Solution

The fourth proportional to 814, 1,123.32 and 464.90 is: 641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    814 : 1,123.32 = 464.90 : x
  2. Step 2: Convert to fraction form
    814/1,123.32 = 464.90/x
  3. Step 3: Cross multiply
    814x = 1,123.32 × 464.90
  4. Step 4: Simplify right side
    814x = 522,231.47
  5. Step 5: Solve for x
    x = 522,231.47/814
  6. Step 6: Final answer
    x = 641.56

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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.