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Finding the Fourth Proportional to 983.32, 1,474.60 and 398.32

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Solution

The fourth proportional to 983.32, 1,474.60 and 398.32 is: 597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.32 : 1,474.60 = 398.32 : x
  2. Step 2: Convert to fraction form
    983.32/1,474.60 = 398.32/x
  3. Step 3: Cross multiply
    983.32x = 1,474.60 × 398.32
  4. Step 4: Simplify right side
    983.32x = 587,362.67
  5. Step 5: Solve for x
    x = 587,362.67/983.32
  6. Step 6: Final answer
    x = 597.33

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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.