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Finding the Fourth Proportional to 1,377.43, 2,065.73 and 727.81

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Solution

The fourth proportional to 1,377.43, 2,065.73 and 727.81 is: 1,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.43 : 2,065.73 = 727.81 : x
  2. Step 2: Convert to fraction form
    1,377.43/2,065.73 = 727.81/x
  3. Step 3: Cross multiply
    1,377.43x = 2,065.73 × 727.81
  4. Step 4: Simplify right side
    1,377.43x = 1,503,458.95
  5. Step 5: Solve for x
    x = 1,503,458.95/1,377.43
  6. Step 6: Final answer
    x = 1,091.50

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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.