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Finding the Fourth Proportional to 1,268.19, 1,901.34 and 537.30

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Solution

The fourth proportional to 1,268.19, 1,901.34 and 537.30 is: 805.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.19 : 1,901.34 = 537.30 : x
  2. Step 2: Convert to fraction form
    1,268.19/1,901.34 = 537.30/x
  3. Step 3: Cross multiply
    1,268.19x = 1,901.34 × 537.30
  4. Step 4: Simplify right side
    1,268.19x = 1,021,589.98
  5. Step 5: Solve for x
    x = 1,021,589.98/1,268.19
  6. Step 6: Final answer
    x = 805.55

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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.