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Finding the Fourth Proportional to 1,160.81, 1,741.49 and 391.31

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Solution

The fourth proportional to 1,160.81, 1,741.49 and 391.31 is: 587.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.81 : 1,741.49 = 391.31 : x
  2. Step 2: Convert to fraction form
    1,160.81/1,741.49 = 391.31/x
  3. Step 3: Cross multiply
    1,160.81x = 1,741.49 × 391.31
  4. Step 4: Simplify right side
    1,160.81x = 681,467.78
  5. Step 5: Solve for x
    x = 681,467.78/1,160.81
  6. Step 6: Final answer
    x = 587.06

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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.