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Finding the Fourth Proportional to 1,287.09, 1,776.44 and 727.56

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Solution

The fourth proportional to 1,287.09, 1,776.44 and 727.56 is: 1,004.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.09 : 1,776.44 = 727.56 : x
  2. Step 2: Convert to fraction form
    1,287.09/1,776.44 = 727.56/x
  3. Step 3: Cross multiply
    1,287.09x = 1,776.44 × 727.56
  4. Step 4: Simplify right side
    1,287.09x = 1,292,466.69
  5. Step 5: Solve for x
    x = 1,292,466.69/1,287.09
  6. Step 6: Final answer
    x = 1,004.18

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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.