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Finding the Fourth Proportional to 1,480.93, 2,043.04 and 851.31

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Solution

The fourth proportional to 1,480.93, 2,043.04 and 851.31 is: 1,174.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.93 : 2,043.04 = 851.31 : x
  2. Step 2: Convert to fraction form
    1,480.93/2,043.04 = 851.31/x
  3. Step 3: Cross multiply
    1,480.93x = 2,043.04 × 851.31
  4. Step 4: Simplify right side
    1,480.93x = 1,739,260.38
  5. Step 5: Solve for x
    x = 1,739,260.38/1,480.93
  6. Step 6: Final answer
    x = 1,174.44

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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.