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Finding the Fourth Proportional to 879.75, 1,310.85 and 823.86

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Solution

The fourth proportional to 879.75, 1,310.85 and 823.86 is: 1,227.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.75 : 1,310.85 = 823.86 : x
  2. Step 2: Convert to fraction form
    879.75/1,310.85 = 823.86/x
  3. Step 3: Cross multiply
    879.75x = 1,310.85 × 823.86
  4. Step 4: Simplify right side
    879.75x = 1,079,956.88
  5. Step 5: Solve for x
    x = 1,079,956.88/879.75
  6. Step 6: Final answer
    x = 1,227.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.