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Finding the Fourth Proportional to 845.46, 1,268.46 and 662.94

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Solution

The fourth proportional to 845.46, 1,268.46 and 662.94 is: 994.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.46 : 1,268.46 = 662.94 : x
  2. Step 2: Convert to fraction form
    845.46/1,268.46 = 662.94/x
  3. Step 3: Cross multiply
    845.46x = 1,268.46 × 662.94
  4. Step 4: Simplify right side
    845.46x = 840,912.87
  5. Step 5: Solve for x
    x = 840,912.87/845.46
  6. Step 6: Final answer
    x = 994.62

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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.