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Finding the Fourth Proportional to 683.12, 1,024.40 and 441.20

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Solution

The fourth proportional to 683.12, 1,024.40 and 441.20 is: 661.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.12 : 1,024.40 = 441.20 : x
  2. Step 2: Convert to fraction form
    683.12/1,024.40 = 441.20/x
  3. Step 3: Cross multiply
    683.12x = 1,024.40 × 441.20
  4. Step 4: Simplify right side
    683.12x = 451,965.28
  5. Step 5: Solve for x
    x = 451,965.28/683.12
  6. Step 6: Final answer
    x = 661.62

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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.