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Finding the Fourth Proportional to 960.16, 1,325.24 and 610.80

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Solution

The fourth proportional to 960.16, 1,325.24 and 610.80 is: 843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.16 : 1,325.24 = 610.80 : x
  2. Step 2: Convert to fraction form
    960.16/1,325.24 = 610.80/x
  3. Step 3: Cross multiply
    960.16x = 1,325.24 × 610.80
  4. Step 4: Simplify right side
    960.16x = 809,456.59
  5. Step 5: Solve for x
    x = 809,456.59/960.16
  6. Step 6: Final answer
    x = 843.04

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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.