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Finding the Fourth Proportional to 712.82, 1,069.18 and 192.80

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Solution

The fourth proportional to 712.82, 1,069.18 and 192.80 is: 289.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.82 : 1,069.18 = 192.80 : x
  2. Step 2: Convert to fraction form
    712.82/1,069.18 = 192.80/x
  3. Step 3: Cross multiply
    712.82x = 1,069.18 × 192.80
  4. Step 4: Simplify right side
    712.82x = 206,137.90
  5. Step 5: Solve for x
    x = 206,137.90/712.82
  6. Step 6: Final answer
    x = 289.19

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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.