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Finding the Fourth Proportional to 1,160.82, 1,741.49 and 391.32

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Solution

The fourth proportional to 1,160.82, 1,741.49 and 391.32 is: 587.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.82 : 1,741.49 = 391.32 : x
  2. Step 2: Convert to fraction form
    1,160.82/1,741.49 = 391.32/x
  3. Step 3: Cross multiply
    1,160.82x = 1,741.49 × 391.32
  4. Step 4: Simplify right side
    1,160.82x = 681,477.91
  5. Step 5: Solve for x
    x = 681,477.91/1,160.82
  6. Step 6: Final answer
    x = 587.07

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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.