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Finding the Fourth Proportional to 683.28, 1,022.27 and 600.35

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Solution

The fourth proportional to 683.28, 1,022.27 and 600.35 is: 898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.28 : 1,022.27 = 600.35 : x
  2. Step 2: Convert to fraction form
    683.28/1,022.27 = 600.35/x
  3. Step 3: Cross multiply
    683.28x = 1,022.27 × 600.35
  4. Step 4: Simplify right side
    683.28x = 613,711.68
  5. Step 5: Solve for x
    x = 613,711.68/683.28
  6. Step 6: Final answer
    x = 898.18

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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.