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Finding the Fourth Proportional to 1,269.54, 1,751.40 and 827.46

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Solution

The fourth proportional to 1,269.54, 1,751.40 and 827.46 is: 1,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.54 : 1,751.40 = 827.46 : x
  2. Step 2: Convert to fraction form
    1,269.54/1,751.40 = 827.46/x
  3. Step 3: Cross multiply
    1,269.54x = 1,751.40 × 827.46
  4. Step 4: Simplify right side
    1,269.54x = 1,449,213.44
  5. Step 5: Solve for x
    x = 1,449,213.44/1,269.54
  6. Step 6: Final answer
    x = 1,141.53

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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.