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Finding the Fourth Proportional to 939.28, 1,295.44 and 828.84

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Solution

The fourth proportional to 939.28, 1,295.44 and 828.84 is: 1,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.28 : 1,295.44 = 828.84 : x
  2. Step 2: Convert to fraction form
    939.28/1,295.44 = 828.84/x
  3. Step 3: Cross multiply
    939.28x = 1,295.44 × 828.84
  4. Step 4: Simplify right side
    939.28x = 1,073,712.49
  5. Step 5: Solve for x
    x = 1,073,712.49/939.28
  6. Step 6: Final answer
    x = 1,143.12

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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.