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Finding the Fourth Proportional to 1,161.35, 1,741.94 and 545.19

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Solution

The fourth proportional to 1,161.35, 1,741.94 and 545.19 is: 817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.35 : 1,741.94 = 545.19 : x
  2. Step 2: Convert to fraction form
    1,161.35/1,741.94 = 545.19/x
  3. Step 3: Cross multiply
    1,161.35x = 1,741.94 × 545.19
  4. Step 4: Simplify right side
    1,161.35x = 949,679.56
  5. Step 5: Solve for x
    x = 949,679.56/1,161.35
  6. Step 6: Final answer
    x = 817.74

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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.