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Finding the Fourth Proportional to 1,422.84, 1,962.96 and 863.11

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Solution

The fourth proportional to 1,422.84, 1,962.96 and 863.11 is: 1,190.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.84 : 1,962.96 = 863.11 : x
  2. Step 2: Convert to fraction form
    1,422.84/1,962.96 = 863.11/x
  3. Step 3: Cross multiply
    1,422.84x = 1,962.96 × 863.11
  4. Step 4: Simplify right side
    1,422.84x = 1,694,245.50
  5. Step 5: Solve for x
    x = 1,694,245.50/1,422.84
  6. Step 6: Final answer
    x = 1,190.75

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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.