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Finding the Fourth Proportional to 863.22, 1,190.88 and 513.84

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Solution

The fourth proportional to 863.22, 1,190.88 and 513.84 is: 708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.22 : 1,190.88 = 513.84 : x
  2. Step 2: Convert to fraction form
    863.22/1,190.88 = 513.84/x
  3. Step 3: Cross multiply
    863.22x = 1,190.88 × 513.84
  4. Step 4: Simplify right side
    863.22x = 611,921.78
  5. Step 5: Solve for x
    x = 611,921.78/863.22
  6. Step 6: Final answer
    x = 708.88

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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.