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Finding the Fourth Proportional to 1,309.82, 1,806.77 and 844.07

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Solution

The fourth proportional to 1,309.82, 1,806.77 and 844.07 is: 1,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.82 : 1,806.77 = 844.07 : x
  2. Step 2: Convert to fraction form
    1,309.82/1,806.77 = 844.07/x
  3. Step 3: Cross multiply
    1,309.82x = 1,806.77 × 844.07
  4. Step 4: Simplify right side
    1,309.82x = 1,525,033.43
  5. Step 5: Solve for x
    x = 1,525,033.43/1,309.82
  6. Step 6: Final answer
    x = 1,164.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.