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Finding the Fourth Proportional to 1,350.37, 1,863.86 and 879.45

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Solution

The fourth proportional to 1,350.37, 1,863.86 and 879.45 is: 1,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.37 : 1,863.86 = 879.45 : x
  2. Step 2: Convert to fraction form
    1,350.37/1,863.86 = 879.45/x
  3. Step 3: Cross multiply
    1,350.37x = 1,863.86 × 879.45
  4. Step 4: Simplify right side
    1,350.37x = 1,639,171.68
  5. Step 5: Solve for x
    x = 1,639,171.68/1,350.37
  6. Step 6: Final answer
    x = 1,213.87

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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.