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Finding the Fourth Proportional to 1,161.81, 1,742.36 and 545.18

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Solution

The fourth proportional to 1,161.81, 1,742.36 and 545.18 is: 817.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.81 : 1,742.36 = 545.18 : x
  2. Step 2: Convert to fraction form
    1,161.81/1,742.36 = 545.18/x
  3. Step 3: Cross multiply
    1,161.81x = 1,742.36 × 545.18
  4. Step 4: Simplify right side
    1,161.81x = 949,888.39
  5. Step 5: Solve for x
    x = 949,888.39/1,161.81
  6. Step 6: Final answer
    x = 817.59

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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.