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Finding the Fourth Proportional to 814.21, 1,123.59 and 464.88

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Solution

The fourth proportional to 814.21, 1,123.59 and 464.88 is: 641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.21 : 1,123.59 = 464.88 : x
  2. Step 2: Convert to fraction form
    814.21/1,123.59 = 464.88/x
  3. Step 3: Cross multiply
    814.21x = 1,123.59 × 464.88
  4. Step 4: Simplify right side
    814.21x = 522,334.52
  5. Step 5: Solve for x
    x = 522,334.52/814.21
  6. Step 6: Final answer
    x = 641.52

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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.