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Finding the Fourth Proportional to 863.42, 1,190.74 and 568.62

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Solution

The fourth proportional to 863.42, 1,190.74 and 568.62 is: 784.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.42 : 1,190.74 = 568.62 : x
  2. Step 2: Convert to fraction form
    863.42/1,190.74 = 568.62/x
  3. Step 3: Cross multiply
    863.42x = 1,190.74 × 568.62
  4. Step 4: Simplify right side
    863.42x = 677,078.58
  5. Step 5: Solve for x
    x = 677,078.58/863.42
  6. Step 6: Final answer
    x = 784.19

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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.