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Finding the Fourth Proportional to 1,161.36, 1,741.86 and 381.38

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Solution

The fourth proportional to 1,161.36, 1,741.86 and 381.38 is: 572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.36 : 1,741.86 = 381.38 : x
  2. Step 2: Convert to fraction form
    1,161.36/1,741.86 = 381.38/x
  3. Step 3: Cross multiply
    1,161.36x = 1,741.86 × 381.38
  4. Step 4: Simplify right side
    1,161.36x = 664,301.86
  5. Step 5: Solve for x
    x = 664,301.86/1,161.36
  6. Step 6: Final answer
    x = 572.00

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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.