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Finding the Fourth Proportional to 879.44, 1,317.57 and 827.39

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Solution

The fourth proportional to 879.44, 1,317.57 and 827.39 is: 1,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.44 : 1,317.57 = 827.39 : x
  2. Step 2: Convert to fraction form
    879.44/1,317.57 = 827.39/x
  3. Step 3: Cross multiply
    879.44x = 1,317.57 × 827.39
  4. Step 4: Simplify right side
    879.44x = 1,090,137.65
  5. Step 5: Solve for x
    x = 1,090,137.65/879.44
  6. Step 6: Final answer
    x = 1,239.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.