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Finding the Fourth Proportional to 1,268.38, 1,901.35 and 537.56

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Solution

The fourth proportional to 1,268.38, 1,901.35 and 537.56 is: 805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.38 : 1,901.35 = 537.56 : x
  2. Step 2: Convert to fraction form
    1,268.38/1,901.35 = 537.56/x
  3. Step 3: Cross multiply
    1,268.38x = 1,901.35 × 537.56
  4. Step 4: Simplify right side
    1,268.38x = 1,022,089.71
  5. Step 5: Solve for x
    x = 1,022,089.71/1,268.38
  6. Step 6: Final answer
    x = 805.82

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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.