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Finding the Fourth Proportional to 982.45, 1,474.18 and 397.59

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Solution

The fourth proportional to 982.45, 1,474.18 and 397.59 is: 596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.45 : 1,474.18 = 397.59 : x
  2. Step 2: Convert to fraction form
    982.45/1,474.18 = 397.59/x
  3. Step 3: Cross multiply
    982.45x = 1,474.18 × 397.59
  4. Step 4: Simplify right side
    982.45x = 586,119.23
  5. Step 5: Solve for x
    x = 586,119.23/982.45
  6. Step 6: Final answer
    x = 596.59

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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.