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Finding the Fourth Proportional to 1,493.56, 2,238.90 and 763.48

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Solution

The fourth proportional to 1,493.56, 2,238.90 and 763.48 is: 1,144.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.56 : 2,238.90 = 763.48 : x
  2. Step 2: Convert to fraction form
    1,493.56/2,238.90 = 763.48/x
  3. Step 3: Cross multiply
    1,493.56x = 2,238.90 × 763.48
  4. Step 4: Simplify right side
    1,493.56x = 1,709,355.37
  5. Step 5: Solve for x
    x = 1,709,355.37/1,493.56
  6. Step 6: Final answer
    x = 1,144.48

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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.