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Finding the Fourth Proportional to 643.40, 963.68 and 447.92

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Solution

The fourth proportional to 643.40, 963.68 and 447.92 is: 670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.40 : 963.68 = 447.92 : x
  2. Step 2: Convert to fraction form
    643.40/963.68 = 447.92/x
  3. Step 3: Cross multiply
    643.40x = 963.68 × 447.92
  4. Step 4: Simplify right side
    643.40x = 431,651.55
  5. Step 5: Solve for x
    x = 431,651.55/643.40
  6. Step 6: Final answer
    x = 670.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.