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Finding the Fourth Proportional to 968.09, 1,450.17 and 773.42

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Solution

The fourth proportional to 968.09, 1,450.17 and 773.42 is: 1,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.09 : 1,450.17 = 773.42 : x
  2. Step 2: Convert to fraction form
    968.09/1,450.17 = 773.42/x
  3. Step 3: Cross multiply
    968.09x = 1,450.17 × 773.42
  4. Step 4: Simplify right side
    968.09x = 1,121,583.23
  5. Step 5: Solve for x
    x = 1,121,583.23/968.09
  6. Step 6: Final answer
    x = 1,158.56

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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.