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Finding the Fourth Proportional to 1,016.25, 1,524.45 and 744.06

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Solution

The fourth proportional to 1,016.25, 1,524.45 and 744.06 is: 1,116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.25 : 1,524.45 = 744.06 : x
  2. Step 2: Convert to fraction form
    1,016.25/1,524.45 = 744.06/x
  3. Step 3: Cross multiply
    1,016.25x = 1,524.45 × 744.06
  4. Step 4: Simplify right side
    1,016.25x = 1,134,282.27
  5. Step 5: Solve for x
    x = 1,134,282.27/1,016.25
  6. Step 6: Final answer
    x = 1,116.14

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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.