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Finding the Fourth Proportional to 892.88, 1,232.46 and 556.94

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Solution

The fourth proportional to 892.88, 1,232.46 and 556.94 is: 768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.88 : 1,232.46 = 556.94 : x
  2. Step 2: Convert to fraction form
    892.88/1,232.46 = 556.94/x
  3. Step 3: Cross multiply
    892.88x = 1,232.46 × 556.94
  4. Step 4: Simplify right side
    892.88x = 686,406.27
  5. Step 5: Solve for x
    x = 686,406.27/892.88
  6. Step 6: Final answer
    x = 768.76

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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.