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Finding the Fourth Proportional to 1,272.27, 1,755.45 and 806.25

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Solution

The fourth proportional to 1,272.27, 1,755.45 and 806.25 is: 1,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.27 : 1,755.45 = 806.25 : x
  2. Step 2: Convert to fraction form
    1,272.27/1,755.45 = 806.25/x
  3. Step 3: Cross multiply
    1,272.27x = 1,755.45 × 806.25
  4. Step 4: Simplify right side
    1,272.27x = 1,415,331.56
  5. Step 5: Solve for x
    x = 1,415,331.56/1,272.27
  6. Step 6: Final answer
    x = 1,112.45

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1.5x scale

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.