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Finding the Fourth Proportional to 967.11, 1,449.40 and 439.62

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Solution

The fourth proportional to 967.11, 1,449.40 and 439.62 is: 658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.11 : 1,449.40 = 439.62 : x
  2. Step 2: Convert to fraction form
    967.11/1,449.40 = 439.62/x
  3. Step 3: Cross multiply
    967.11x = 1,449.40 × 439.62
  4. Step 4: Simplify right side
    967.11x = 637,185.23
  5. Step 5: Solve for x
    x = 637,185.23/967.11
  6. Step 6: Final answer
    x = 658.85

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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.