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Finding the Fourth Proportional to 1,363.14, 1,881.23 and 773.71

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Solution

The fourth proportional to 1,363.14, 1,881.23 and 773.71 is: 1,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.14 : 1,881.23 = 773.71 : x
  2. Step 2: Convert to fraction form
    1,363.14/1,881.23 = 773.71/x
  3. Step 3: Cross multiply
    1,363.14x = 1,881.23 × 773.71
  4. Step 4: Simplify right side
    1,363.14x = 1,455,527.85
  5. Step 5: Solve for x
    x = 1,455,527.85/1,363.14
  6. Step 6: Final answer
    x = 1,067.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.