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Finding the Fourth Proportional to 1,016.34, 1,523.82 and 322.78

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Solution

The fourth proportional to 1,016.34, 1,523.82 and 322.78 is: 483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.34 : 1,523.82 = 322.78 : x
  2. Step 2: Convert to fraction form
    1,016.34/1,523.82 = 322.78/x
  3. Step 3: Cross multiply
    1,016.34x = 1,523.82 × 322.78
  4. Step 4: Simplify right side
    1,016.34x = 491,858.62
  5. Step 5: Solve for x
    x = 491,858.62/1,016.34
  6. Step 6: Final answer
    x = 483.95

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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.