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Finding the Fourth Proportional to 967.26, 1,450.10 and 480.18

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Solution

The fourth proportional to 967.26, 1,450.10 and 480.18 is: 719.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.26 : 1,450.10 = 480.18 : x
  2. Step 2: Convert to fraction form
    967.26/1,450.10 = 480.18/x
  3. Step 3: Cross multiply
    967.26x = 1,450.10 × 480.18
  4. Step 4: Simplify right side
    967.26x = 696,309.02
  5. Step 5: Solve for x
    x = 696,309.02/967.26
  6. Step 6: Final answer
    x = 719.88

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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.