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Finding the Fourth Proportional to 1,297.49, 1,791.45 and 800.28

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Solution

The fourth proportional to 1,297.49, 1,791.45 and 800.28 is: 1,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.49 : 1,791.45 = 800.28 : x
  2. Step 2: Convert to fraction form
    1,297.49/1,791.45 = 800.28/x
  3. Step 3: Cross multiply
    1,297.49x = 1,791.45 × 800.28
  4. Step 4: Simplify right side
    1,297.49x = 1,433,661.61
  5. Step 5: Solve for x
    x = 1,433,661.61/1,297.49
  6. Step 6: Final answer
    x = 1,104.95

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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.