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Finding the Fourth Proportional to 983.12, 1,474.74 and 252.72

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Solution

The fourth proportional to 983.12, 1,474.74 and 252.72 is: 379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.12 : 1,474.74 = 252.72 : x
  2. Step 2: Convert to fraction form
    983.12/1,474.74 = 252.72/x
  3. Step 3: Cross multiply
    983.12x = 1,474.74 × 252.72
  4. Step 4: Simplify right side
    983.12x = 372,696.29
  5. Step 5: Solve for x
    x = 372,696.29/983.12
  6. Step 6: Final answer
    x = 379.10

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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.