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Finding the Fourth Proportional to 960.30, 1,323.99 and 827.24

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Solution

The fourth proportional to 960.30, 1,323.99 and 827.24 is: 1,140.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.30 : 1,323.99 = 827.24 : x
  2. Step 2: Convert to fraction form
    960.30/1,323.99 = 827.24/x
  3. Step 3: Cross multiply
    960.30x = 1,323.99 × 827.24
  4. Step 4: Simplify right side
    960.30x = 1,095,250.87
  5. Step 5: Solve for x
    x = 1,095,250.87/960.30
  6. Step 6: Final answer
    x = 1,140.53

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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.