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Finding the Fourth Proportional to 683.46, 1,023.72 and 422.64

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Solution

The fourth proportional to 683.46, 1,023.72 and 422.64 is: 633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.46 : 1,023.72 = 422.64 : x
  2. Step 2: Convert to fraction form
    683.46/1,023.72 = 422.64/x
  3. Step 3: Cross multiply
    683.46x = 1,023.72 × 422.64
  4. Step 4: Simplify right side
    683.46x = 432,665.02
  5. Step 5: Solve for x
    x = 432,665.02/683.46
  6. Step 6: Final answer
    x = 633.05

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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.