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Finding the Fourth Proportional to 1,019.25, 1,528.88 and 249.75

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Solution

The fourth proportional to 1,019.25, 1,528.88 and 249.75 is: 374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.25 : 1,528.88 = 249.75 : x
  2. Step 2: Convert to fraction form
    1,019.25/1,528.88 = 249.75/x
  3. Step 3: Cross multiply
    1,019.25x = 1,528.88 × 249.75
  4. Step 4: Simplify right side
    1,019.25x = 381,836.53
  5. Step 5: Solve for x
    x = 381,836.53/1,019.25
  6. Step 6: Final answer
    x = 374.63

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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.