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Finding the Fourth Proportional to 1,016.20, 1,523.91 and 322.72

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Solution

The fourth proportional to 1,016.20, 1,523.91 and 322.72 is: 483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.20 : 1,523.91 = 322.72 : x
  2. Step 2: Convert to fraction form
    1,016.20/1,523.91 = 322.72/x
  3. Step 3: Cross multiply
    1,016.20x = 1,523.91 × 322.72
  4. Step 4: Simplify right side
    1,016.20x = 491,796.24
  5. Step 5: Solve for x
    x = 491,796.24/1,016.20
  6. Step 6: Final answer
    x = 483.96

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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.