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Finding the Fourth Proportional to 828.38, 1,240.70 and 686.03

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Solution

The fourth proportional to 828.38, 1,240.70 and 686.03 is: 1,027.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.38 : 1,240.70 = 686.03 : x
  2. Step 2: Convert to fraction form
    828.38/1,240.70 = 686.03/x
  3. Step 3: Cross multiply
    828.38x = 1,240.70 × 686.03
  4. Step 4: Simplify right side
    828.38x = 851,147.79
  5. Step 5: Solve for x
    x = 851,147.79/828.38
  6. Step 6: Final answer
    x = 1,027.48

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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.