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Finding the Fourth Proportional to 892.38, 1,228.98 and 768

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Solution

The fourth proportional to 892.38, 1,228.98 and 768 is: 1,057.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.38 : 1,228.98 = 768 : x
  2. Step 2: Convert to fraction form
    892.38/1,228.98 = 768/x
  3. Step 3: Cross multiply
    892.38x = 1,228.98 × 768
  4. Step 4: Simplify right side
    892.38x = 943,856.64
  5. Step 5: Solve for x
    x = 943,856.64/892.38
  6. Step 6: Final answer
    x = 1,057.68

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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.