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Finding the Fourth Proportional to 1,161.29, 1,741.84 and 381.26

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Solution

The fourth proportional to 1,161.29, 1,741.84 and 381.26 is: 571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.29 : 1,741.84 = 381.26 : x
  2. Step 2: Convert to fraction form
    1,161.29/1,741.84 = 381.26/x
  3. Step 3: Cross multiply
    1,161.29x = 1,741.84 × 381.26
  4. Step 4: Simplify right side
    1,161.29x = 664,097.32
  5. Step 5: Solve for x
    x = 664,097.32/1,161.29
  6. Step 6: Final answer
    x = 571.86

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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.