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Finding the Fourth Proportional to 694.02, 1,039.52 and 538.73

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Solution

The fourth proportional to 694.02, 1,039.52 and 538.73 is: 806.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.02 : 1,039.52 = 538.73 : x
  2. Step 2: Convert to fraction form
    694.02/1,039.52 = 538.73/x
  3. Step 3: Cross multiply
    694.02x = 1,039.52 × 538.73
  4. Step 4: Simplify right side
    694.02x = 560,020.51
  5. Step 5: Solve for x
    x = 560,020.51/694.02
  6. Step 6: Final answer
    x = 806.92

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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.