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Finding the Fourth Proportional to 1,161.18, 1,742.05 and 381.24

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Solution

The fourth proportional to 1,161.18, 1,742.05 and 381.24 is: 571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.18 : 1,742.05 = 381.24 : x
  2. Step 2: Convert to fraction form
    1,161.18/1,742.05 = 381.24/x
  3. Step 3: Cross multiply
    1,161.18x = 1,742.05 × 381.24
  4. Step 4: Simplify right side
    1,161.18x = 664,139.14
  5. Step 5: Solve for x
    x = 664,139.14/1,161.18
  6. Step 6: Final answer
    x = 571.95

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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.