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Finding the Fourth Proportional to 1,161.56, 1,741.94 and 381.34

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Solution

The fourth proportional to 1,161.56, 1,741.94 and 381.34 is: 571.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.56 : 1,741.94 = 381.34 : x
  2. Step 2: Convert to fraction form
    1,161.56/1,741.94 = 381.34/x
  3. Step 3: Cross multiply
    1,161.56x = 1,741.94 × 381.34
  4. Step 4: Simplify right side
    1,161.56x = 664,271.40
  5. Step 5: Solve for x
    x = 664,271.40/1,161.56
  6. Step 6: Final answer
    x = 571.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.