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Finding the Fourth Proportional to 863.50, 1,191.36 and 568.93

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Solution

The fourth proportional to 863.50, 1,191.36 and 568.93 is: 784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.50 : 1,191.36 = 568.93 : x
  2. Step 2: Convert to fraction form
    863.50/1,191.36 = 568.93/x
  3. Step 3: Cross multiply
    863.50x = 1,191.36 × 568.93
  4. Step 4: Simplify right side
    863.50x = 677,800.44
  5. Step 5: Solve for x
    x = 677,800.44/863.50
  6. Step 6: Final answer
    x = 784.95

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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.