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Finding the Fourth Proportional to 968.20, 1,450.70 and 830.60

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Solution

The fourth proportional to 968.20, 1,450.70 and 830.60 is: 1,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.20 : 1,450.70 = 830.60 : x
  2. Step 2: Convert to fraction form
    968.20/1,450.70 = 830.60/x
  3. Step 3: Cross multiply
    968.20x = 1,450.70 × 830.60
  4. Step 4: Simplify right side
    968.20x = 1,204,951.42
  5. Step 5: Solve for x
    x = 1,204,951.42/968.20
  6. Step 6: Final answer
    x = 1,244.53

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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.