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Finding the Fourth Proportional to 983.66, 1,474.11 and 520.43

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Solution

The fourth proportional to 983.66, 1,474.11 and 520.43 is: 779.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.66 : 1,474.11 = 520.43 : x
  2. Step 2: Convert to fraction form
    983.66/1,474.11 = 520.43/x
  3. Step 3: Cross multiply
    983.66x = 1,474.11 × 520.43
  4. Step 4: Simplify right side
    983.66x = 767,163.70
  5. Step 5: Solve for x
    x = 767,163.70/983.66
  6. Step 6: Final answer
    x = 779.91

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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.