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Finding the Fourth Proportional to 680.14, 1,020.10 and 193.08

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Solution

The fourth proportional to 680.14, 1,020.10 and 193.08 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.14 : 1,020.10 = 193.08 : x
  2. Step 2: Convert to fraction form
    680.14/1,020.10 = 193.08/x
  3. Step 3: Cross multiply
    680.14x = 1,020.10 × 193.08
  4. Step 4: Simplify right side
    680.14x = 196,958.87
  5. Step 5: Solve for x
    x = 196,958.87/680.14
  6. Step 6: Final answer
    x = 289.59

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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.