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Finding the Fourth Proportional to 1,016.39, 1,524.69 and 323.12

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Solution

The fourth proportional to 1,016.39, 1,524.69 and 323.12 is: 484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.39 : 1,524.69 = 323.12 : x
  2. Step 2: Convert to fraction form
    1,016.39/1,524.69 = 323.12/x
  3. Step 3: Cross multiply
    1,016.39x = 1,524.69 × 323.12
  4. Step 4: Simplify right side
    1,016.39x = 492,650.21
  5. Step 5: Solve for x
    x = 492,650.21/1,016.39
  6. Step 6: Final answer
    x = 484.71

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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.