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Finding the Fourth Proportional to 967.34, 1,449.85 and 446.64

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Solution

The fourth proportional to 967.34, 1,449.85 and 446.64 is: 669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.34 : 1,449.85 = 446.64 : x
  2. Step 2: Convert to fraction form
    967.34/1,449.85 = 446.64/x
  3. Step 3: Cross multiply
    967.34x = 1,449.85 × 446.64
  4. Step 4: Simplify right side
    967.34x = 647,561.00
  5. Step 5: Solve for x
    x = 647,561.00/967.34
  6. Step 6: Final answer
    x = 669.42

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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.