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Finding the Fourth Proportional to 683.56, 1,022.94 and 423.40

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Solution

The fourth proportional to 683.56, 1,022.94 and 423.40 is: 633.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.56 : 1,022.94 = 423.40 : x
  2. Step 2: Convert to fraction form
    683.56/1,022.94 = 423.40/x
  3. Step 3: Cross multiply
    683.56x = 1,022.94 × 423.40
  4. Step 4: Simplify right side
    683.56x = 433,112.80
  5. Step 5: Solve for x
    x = 433,112.80/683.56
  6. Step 6: Final answer
    x = 633.61

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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.