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Finding the Fourth Proportional to 967.05, 1,333.24 and 768.54

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Solution

The fourth proportional to 967.05, 1,333.24 and 768.54 is: 1,059.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.05 : 1,333.24 = 768.54 : x
  2. Step 2: Convert to fraction form
    967.05/1,333.24 = 768.54/x
  3. Step 3: Cross multiply
    967.05x = 1,333.24 × 768.54
  4. Step 4: Simplify right side
    967.05x = 1,024,645.62
  5. Step 5: Solve for x
    x = 1,024,645.62/967.05
  6. Step 6: Final answer
    x = 1,059.56

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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.