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Finding the Fourth Proportional to 967.08, 1,450.62 and 679.80

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Solution

The fourth proportional to 967.08, 1,450.62 and 679.80 is: 1,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.08 : 1,450.62 = 679.80 : x
  2. Step 2: Convert to fraction form
    967.08/1,450.62 = 679.80/x
  3. Step 3: Cross multiply
    967.08x = 1,450.62 × 679.80
  4. Step 4: Simplify right side
    967.08x = 986,131.48
  5. Step 5: Solve for x
    x = 986,131.48/967.08
  6. Step 6: Final answer
    x = 1,019.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.