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Finding the Fourth Proportional to 1,768.97, 2,651.76 and 844.28

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Solution

The fourth proportional to 1,768.97, 2,651.76 and 844.28 is: 1,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.97 : 2,651.76 = 844.28 : x
  2. Step 2: Convert to fraction form
    1,768.97/2,651.76 = 844.28/x
  3. Step 3: Cross multiply
    1,768.97x = 2,651.76 × 844.28
  4. Step 4: Simplify right side
    1,768.97x = 2,238,827.93
  5. Step 5: Solve for x
    x = 2,238,827.93/1,768.97
  6. Step 6: Final answer
    x = 1,265.61

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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.