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Finding the Fourth Proportional to 1,269.96, 1,751.91 and 827.70

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Solution

The fourth proportional to 1,269.96, 1,751.91 and 827.70 is: 1,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,269.96 : 1,751.91 = 827.70 : x
  2. Step 2: Convert to fraction form
    1,269.96/1,751.91 = 827.70/x
  3. Step 3: Cross multiply
    1,269.96x = 1,751.91 × 827.70
  4. Step 4: Simplify right side
    1,269.96x = 1,450,055.91
  5. Step 5: Solve for x
    x = 1,450,055.91/1,269.96
  6. Step 6: Final answer
    x = 1,141.81

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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.