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Finding the Fourth Proportional to 1,161.81, 1,741.55 and 729.27

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Solution

The fourth proportional to 1,161.81, 1,741.55 and 729.27 is: 1,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.81 : 1,741.55 = 729.27 : x
  2. Step 2: Convert to fraction form
    1,161.81/1,741.55 = 729.27/x
  3. Step 3: Cross multiply
    1,161.81x = 1,741.55 × 729.27
  4. Step 4: Simplify right side
    1,161.81x = 1,270,056.52
  5. Step 5: Solve for x
    x = 1,270,056.52/1,161.81
  6. Step 6: Final answer
    x = 1,093.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.