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Finding the Fourth Proportional to 960.36, 1,323.92 and 792.45

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Solution

The fourth proportional to 960.36, 1,323.92 and 792.45 is: 1,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.36 : 1,323.92 = 792.45 : x
  2. Step 2: Convert to fraction form
    960.36/1,323.92 = 792.45/x
  3. Step 3: Cross multiply
    960.36x = 1,323.92 × 792.45
  4. Step 4: Simplify right side
    960.36x = 1,049,136.44
  5. Step 5: Solve for x
    x = 1,049,136.44/960.36
  6. Step 6: Final answer
    x = 1,092.44

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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.