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Finding the Fourth Proportional to 967.25, 1,449.56 and 439.50

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Solution

The fourth proportional to 967.25, 1,449.56 and 439.50 is: 658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.25 : 1,449.56 = 439.50 : x
  2. Step 2: Convert to fraction form
    967.25/1,449.56 = 439.50/x
  3. Step 3: Cross multiply
    967.25x = 1,449.56 × 439.50
  4. Step 4: Simplify right side
    967.25x = 637,073.27
  5. Step 5: Solve for x
    x = 637,073.27/967.25
  6. Step 6: Final answer
    x = 658.65

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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.