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Finding the Fourth Proportional to 1,265.27, 1,744.94 and 793.22

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Solution

The fourth proportional to 1,265.27, 1,744.94 and 793.22 is: 1,093.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.27 : 1,744.94 = 793.22 : x
  2. Step 2: Convert to fraction form
    1,265.27/1,744.94 = 793.22/x
  3. Step 3: Cross multiply
    1,265.27x = 1,744.94 × 793.22
  4. Step 4: Simplify right side
    1,265.27x = 1,384,108.62
  5. Step 5: Solve for x
    x = 1,384,108.62/1,265.27
  6. Step 6: Final answer
    x = 1,093.92

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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.