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Finding the Fourth Proportional to 1,199.53, 1,655.31 and 727.48

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Solution

The fourth proportional to 1,199.53, 1,655.31 and 727.48 is: 1,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.53 : 1,655.31 = 727.48 : x
  2. Step 2: Convert to fraction form
    1,199.53/1,655.31 = 727.48/x
  3. Step 3: Cross multiply
    1,199.53x = 1,655.31 × 727.48
  4. Step 4: Simplify right side
    1,199.53x = 1,204,204.92
  5. Step 5: Solve for x
    x = 1,204,204.92/1,199.53
  6. Step 6: Final answer
    x = 1,003.90

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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.