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Finding the Fourth Proportional to 966.99, 1,449.22 and 446.92

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Solution

The fourth proportional to 966.99, 1,449.22 and 446.92 is: 669.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.99 : 1,449.22 = 446.92 : x
  2. Step 2: Convert to fraction form
    966.99/1,449.22 = 446.92/x
  3. Step 3: Cross multiply
    966.99x = 1,449.22 × 446.92
  4. Step 4: Simplify right side
    966.99x = 647,680.66
  5. Step 5: Solve for x
    x = 647,680.66/966.99
  6. Step 6: Final answer
    x = 669.79

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Why These Related Problems?

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