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Finding the Fourth Proportional to 960.28, 1,433.41 and 824.20

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Solution

The fourth proportional to 960.28, 1,433.41 and 824.20 is: 1,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.28 : 1,433.41 = 824.20 : x
  2. Step 2: Convert to fraction form
    960.28/1,433.41 = 824.20/x
  3. Step 3: Cross multiply
    960.28x = 1,433.41 × 824.20
  4. Step 4: Simplify right side
    960.28x = 1,181,416.52
  5. Step 5: Solve for x
    x = 1,181,416.52/960.28
  6. Step 6: Final answer
    x = 1,230.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.