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Finding the Fourth Proportional to 967.90, 1,451.85 and 680.62

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Solution

The fourth proportional to 967.90, 1,451.85 and 680.62 is: 1,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.90 : 1,451.85 = 680.62 : x
  2. Step 2: Convert to fraction form
    967.90/1,451.85 = 680.62/x
  3. Step 3: Cross multiply
    967.90x = 1,451.85 × 680.62
  4. Step 4: Simplify right side
    967.90x = 988,158.15
  5. Step 5: Solve for x
    x = 988,158.15/967.90
  6. Step 6: Final answer
    x = 1,020.93

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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.