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Finding the Fourth Proportional to 683.46, 940.43 and 662.96

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Solution

The fourth proportional to 683.46, 940.43 and 662.96 is: 912.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.46 : 940.43 = 662.96 : x
  2. Step 2: Convert to fraction form
    683.46/940.43 = 662.96/x
  3. Step 3: Cross multiply
    683.46x = 940.43 × 662.96
  4. Step 4: Simplify right side
    683.46x = 623,471.48
  5. Step 5: Solve for x
    x = 623,471.48/683.46
  6. Step 6: Final answer
    x = 912.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.