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Finding the Fourth Proportional to 712.97, 1,069.47 and 199.97

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Solution

The fourth proportional to 712.97, 1,069.47 and 199.97 is: 299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.97 : 1,069.47 = 199.97 : x
  2. Step 2: Convert to fraction form
    712.97/1,069.47 = 199.97/x
  3. Step 3: Cross multiply
    712.97x = 1,069.47 × 199.97
  4. Step 4: Simplify right side
    712.97x = 213,860.58
  5. Step 5: Solve for x
    x = 213,860.58/712.97
  6. Step 6: Final answer
    x = 299.96

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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.