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Finding the Fourth Proportional to 1,286.97, 1,777.19 and 822.03

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Solution

The fourth proportional to 1,286.97, 1,777.19 and 822.03 is: 1,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.97 : 1,777.19 = 822.03 : x
  2. Step 2: Convert to fraction form
    1,286.97/1,777.19 = 822.03/x
  3. Step 3: Cross multiply
    1,286.97x = 1,777.19 × 822.03
  4. Step 4: Simplify right side
    1,286.97x = 1,460,899.39
  5. Step 5: Solve for x
    x = 1,460,899.39/1,286.97
  6. Step 6: Final answer
    x = 1,135.15

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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.