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Finding the Fourth Proportional to 1,309.06, 1,805.74 and 843.31

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Solution

The fourth proportional to 1,309.06, 1,805.74 and 843.31 is: 1,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.06 : 1,805.74 = 843.31 : x
  2. Step 2: Convert to fraction form
    1,309.06/1,805.74 = 843.31/x
  3. Step 3: Cross multiply
    1,309.06x = 1,805.74 × 843.31
  4. Step 4: Simplify right side
    1,309.06x = 1,522,798.75
  5. Step 5: Solve for x
    x = 1,522,798.75/1,309.06
  6. Step 6: Final answer
    x = 1,163.28

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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.