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Finding the Fourth Proportional to 1,248.20, 1,724.20 and 968.75

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Solution

The fourth proportional to 1,248.20, 1,724.20 and 968.75 is: 1,338.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.20 : 1,724.20 = 968.75 : x
  2. Step 2: Convert to fraction form
    1,248.20/1,724.20 = 968.75/x
  3. Step 3: Cross multiply
    1,248.20x = 1,724.20 × 968.75
  4. Step 4: Simplify right side
    1,248.20x = 1,670,318.75
  5. Step 5: Solve for x
    x = 1,670,318.75/1,248.20
  6. Step 6: Final answer
    x = 1,338.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.