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Finding the Fourth Proportional to 712.71, 1,069.02 and 199.71

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Solution

The fourth proportional to 712.71, 1,069.02 and 199.71 is: 299.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.71 : 1,069.02 = 199.71 : x
  2. Step 2: Convert to fraction form
    712.71/1,069.02 = 199.71/x
  3. Step 3: Cross multiply
    712.71x = 1,069.02 × 199.71
  4. Step 4: Simplify right side
    712.71x = 213,493.98
  5. Step 5: Solve for x
    x = 213,493.98/712.71
  6. Step 6: Final answer
    x = 299.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.