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Finding the Fourth Proportional to 967.28, 1,334.48 and 593.96

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Solution

The fourth proportional to 967.28, 1,334.48 and 593.96 is: 819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.28 : 1,334.48 = 593.96 : x
  2. Step 2: Convert to fraction form
    967.28/1,334.48 = 593.96/x
  3. Step 3: Cross multiply
    967.28x = 1,334.48 × 593.96
  4. Step 4: Simplify right side
    967.28x = 792,618.10
  5. Step 5: Solve for x
    x = 792,618.10/967.28
  6. Step 6: Final answer
    x = 819.43

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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.