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Finding the Fourth Proportional to 1,349.31, 1,861 and 851.77

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Solution

The fourth proportional to 1,349.31, 1,861 and 851.77 is: 1,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.31 : 1,861 = 851.77 : x
  2. Step 2: Convert to fraction form
    1,349.31/1,861 = 851.77/x
  3. Step 3: Cross multiply
    1,349.31x = 1,861 × 851.77
  4. Step 4: Simplify right side
    1,349.31x = 1,585,143.97
  5. Step 5: Solve for x
    x = 1,585,143.97/1,349.31
  6. Step 6: Final answer
    x = 1,174.78

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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.