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Finding the Fourth Proportional to 879.07, 1,213.17 and 599.87

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Solution

The fourth proportional to 879.07, 1,213.17 and 599.87 is: 827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.07 : 1,213.17 = 599.87 : x
  2. Step 2: Convert to fraction form
    879.07/1,213.17 = 599.87/x
  3. Step 3: Cross multiply
    879.07x = 1,213.17 × 599.87
  4. Step 4: Simplify right side
    879.07x = 727,744.29
  5. Step 5: Solve for x
    x = 727,744.29/879.07
  6. Step 6: Final answer
    x = 827.86

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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.