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Finding the Fourth Proportional to 683.05, 1,022.42 and 487.42

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Solution

The fourth proportional to 683.05, 1,022.42 and 487.42 is: 729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.05 : 1,022.42 = 487.42 : x
  2. Step 2: Convert to fraction form
    683.05/1,022.42 = 487.42/x
  3. Step 3: Cross multiply
    683.05x = 1,022.42 × 487.42
  4. Step 4: Simplify right side
    683.05x = 498,345.52
  5. Step 5: Solve for x
    x = 498,345.52/683.05
  6. Step 6: Final answer
    x = 729.59

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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.