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Finding the Fourth Proportional to 967, 1,449.26 and 447

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Solution

The fourth proportional to 967, 1,449.26 and 447 is: 669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    967 : 1,449.26 = 447 : x
  2. Step 2: Convert to fraction form
    967/1,449.26 = 447/x
  3. Step 3: Cross multiply
    967x = 1,449.26 × 447
  4. Step 4: Simplify right side
    967x = 647,819.22
  5. Step 5: Solve for x
    x = 647,819.22/967
  6. Step 6: Final answer
    x = 669.93

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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.