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Finding the Fourth Proportional to 1,161.22, 1,741.63 and 576.03

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Solution

The fourth proportional to 1,161.22, 1,741.63 and 576.03 is: 863.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.22 : 1,741.63 = 576.03 : x
  2. Step 2: Convert to fraction form
    1,161.22/1,741.63 = 576.03/x
  3. Step 3: Cross multiply
    1,161.22x = 1,741.63 × 576.03
  4. Step 4: Simplify right side
    1,161.22x = 1,003,231.13
  5. Step 5: Solve for x
    x = 1,003,231.13/1,161.22
  6. Step 6: Final answer
    x = 863.95

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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.