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Finding the Fourth Proportional to 1,317.09, 1,817.51 and 727.61

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Solution

The fourth proportional to 1,317.09, 1,817.51 and 727.61 is: 1,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.09 : 1,817.51 = 727.61 : x
  2. Step 2: Convert to fraction form
    1,317.09/1,817.51 = 727.61/x
  3. Step 3: Cross multiply
    1,317.09x = 1,817.51 × 727.61
  4. Step 4: Simplify right side
    1,317.09x = 1,322,439.36
  5. Step 5: Solve for x
    x = 1,322,439.36/1,317.09
  6. Step 6: Final answer
    x = 1,004.06

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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.