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Finding the Fourth Proportional to 982, 1,469.22 and 974.98

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Solution

The fourth proportional to 982, 1,469.22 and 974.98 is: 1,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    982 : 1,469.22 = 974.98 : x
  2. Step 2: Convert to fraction form
    982/1,469.22 = 974.98/x
  3. Step 3: Cross multiply
    982x = 1,469.22 × 974.98
  4. Step 4: Simplify right side
    982x = 1,432,460.12
  5. Step 5: Solve for x
    x = 1,432,460.12/982
  6. Step 6: Final answer
    x = 1,458.72

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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.