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Finding the Fourth Proportional to 680.43, 1,020.65 and 193.42

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Solution

The fourth proportional to 680.43, 1,020.65 and 193.42 is: 290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.43 : 1,020.65 = 193.42 : x
  2. Step 2: Convert to fraction form
    680.43/1,020.65 = 193.42/x
  3. Step 3: Cross multiply
    680.43x = 1,020.65 × 193.42
  4. Step 4: Simplify right side
    680.43x = 197,414.12
  5. Step 5: Solve for x
    x = 197,414.12/680.43
  6. Step 6: Final answer
    x = 290.13

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