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Finding the Fourth Proportional to 1,480.27, 2,042.87 and 851.00

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Solution

The fourth proportional to 1,480.27, 2,042.87 and 851.00 is: 1,174.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.27 : 2,042.87 = 851.00 : x
  2. Step 2: Convert to fraction form
    1,480.27/2,042.87 = 851.00/x
  3. Step 3: Cross multiply
    1,480.27x = 2,042.87 × 851.00
  4. Step 4: Simplify right side
    1,480.27x = 1,738,467.90
  5. Step 5: Solve for x
    x = 1,738,467.90/1,480.27
  6. Step 6: Final answer
    x = 1,174.43

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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.