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Finding the Fourth Proportional to 1,016.31, 1,524.54 and 322.97

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Solution

The fourth proportional to 1,016.31, 1,524.54 and 322.97 is: 484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.31 : 1,524.54 = 322.97 : x
  2. Step 2: Convert to fraction form
    1,016.31/1,524.54 = 322.97/x
  3. Step 3: Cross multiply
    1,016.31x = 1,524.54 × 322.97
  4. Step 4: Simplify right side
    1,016.31x = 492,373.06
  5. Step 5: Solve for x
    x = 492,373.06/1,016.31
  6. Step 6: Final answer
    x = 484.47

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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.