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Finding the Fourth Proportional to 1,269, 1,750.86 and 827.28

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Solution

The fourth proportional to 1,269, 1,750.86 and 827.28 is: 1,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269 : 1,750.86 = 827.28 : x
  2. Step 2: Convert to fraction form
    1,269/1,750.86 = 827.28/x
  3. Step 3: Cross multiply
    1,269x = 1,750.86 × 827.28
  4. Step 4: Simplify right side
    1,269x = 1,448,451.46
  5. Step 5: Solve for x
    x = 1,448,451.46/1,269
  6. Step 6: Final answer
    x = 1,141.41

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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.