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Finding the Fourth Proportional to 1,016.26, 1,523.80 and 399.25

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Solution

The fourth proportional to 1,016.26, 1,523.80 and 399.25 is: 598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.26 : 1,523.80 = 399.25 : x
  2. Step 2: Convert to fraction form
    1,016.26/1,523.80 = 399.25/x
  3. Step 3: Cross multiply
    1,016.26x = 1,523.80 × 399.25
  4. Step 4: Simplify right side
    1,016.26x = 608,377.15
  5. Step 5: Solve for x
    x = 608,377.15/1,016.26
  6. Step 6: Final answer
    x = 598.64

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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.