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Finding the Fourth Proportional to 1,268.53, 1,902.83 and 537.64

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Solution

The fourth proportional to 1,268.53, 1,902.83 and 537.64 is: 806.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.53 : 1,902.83 = 537.64 : x
  2. Step 2: Convert to fraction form
    1,268.53/1,902.83 = 537.64/x
  3. Step 3: Cross multiply
    1,268.53x = 1,902.83 × 537.64
  4. Step 4: Simplify right side
    1,268.53x = 1,023,030.08
  5. Step 5: Solve for x
    x = 1,023,030.08/1,268.53
  6. Step 6: Final answer
    x = 806.47

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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.