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Finding the Fourth Proportional to 1,422.99, 1,963.12 and 863.25

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Solution

The fourth proportional to 1,422.99, 1,963.12 and 863.25 is: 1,190.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.99 : 1,963.12 = 863.25 : x
  2. Step 2: Convert to fraction form
    1,422.99/1,963.12 = 863.25/x
  3. Step 3: Cross multiply
    1,422.99x = 1,963.12 × 863.25
  4. Step 4: Simplify right side
    1,422.99x = 1,694,649.21
  5. Step 5: Solve for x
    x = 1,694,649.21/1,422.99
  6. Step 6: Final answer
    x = 1,190.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.