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Finding the Fourth Proportional to 960.53, 1,324.69 and 773.96

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Solution

The fourth proportional to 960.53, 1,324.69 and 773.96 is: 1,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.53 : 1,324.69 = 773.96 : x
  2. Step 2: Convert to fraction form
    960.53/1,324.69 = 773.96/x
  3. Step 3: Cross multiply
    960.53x = 1,324.69 × 773.96
  4. Step 4: Simplify right side
    960.53x = 1,025,248.51
  5. Step 5: Solve for x
    x = 1,025,248.51/960.53
  6. Step 6: Final answer
    x = 1,067.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.