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Finding the Fourth Proportional to 967.46, 1,449.99 and 446.73

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Solution

The fourth proportional to 967.46, 1,449.99 and 446.73 is: 669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.46 : 1,449.99 = 446.73 : x
  2. Step 2: Convert to fraction form
    967.46/1,449.99 = 446.73/x
  3. Step 3: Cross multiply
    967.46x = 1,449.99 × 446.73
  4. Step 4: Simplify right side
    967.46x = 647,754.03
  5. Step 5: Solve for x
    x = 647,754.03/967.46
  6. Step 6: Final answer
    x = 669.54

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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.