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Finding the Fourth Proportional to 1,311.31, 1,964.94 and 763.75

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Solution

The fourth proportional to 1,311.31, 1,964.94 and 763.75 is: 1,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.31 : 1,964.94 = 763.75 : x
  2. Step 2: Convert to fraction form
    1,311.31/1,964.94 = 763.75/x
  3. Step 3: Cross multiply
    1,311.31x = 1,964.94 × 763.75
  4. Step 4: Simplify right side
    1,311.31x = 1,500,722.93
  5. Step 5: Solve for x
    x = 1,500,722.93/1,311.31
  6. Step 6: Final answer
    x = 1,144.45

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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.