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Finding the Fourth Proportional to 983.83, 1,474.52 and 496.61

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Solution

The fourth proportional to 983.83, 1,474.52 and 496.61 is: 744.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.83 : 1,474.52 = 496.61 : x
  2. Step 2: Convert to fraction form
    983.83/1,474.52 = 496.61/x
  3. Step 3: Cross multiply
    983.83x = 1,474.52 × 496.61
  4. Step 4: Simplify right side
    983.83x = 732,261.38
  5. Step 5: Solve for x
    x = 732,261.38/983.83
  6. Step 6: Final answer
    x = 744.30

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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.