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Finding the Fourth Proportional to 1,161.34, 1,742.21 and 381.12

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Solution

The fourth proportional to 1,161.34, 1,742.21 and 381.12 is: 571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.34 : 1,742.21 = 381.12 : x
  2. Step 2: Convert to fraction form
    1,161.34/1,742.21 = 381.12/x
  3. Step 3: Cross multiply
    1,161.34x = 1,742.21 × 381.12
  4. Step 4: Simplify right side
    1,161.34x = 663,993.87
  5. Step 5: Solve for x
    x = 663,993.87/1,161.34
  6. Step 6: Final answer
    x = 571.75

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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.