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Finding the Fourth Proportional to 1,493.19, 2,238.44 and 627.57

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Solution

The fourth proportional to 1,493.19, 2,238.44 and 627.57 is: 940.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.19 : 2,238.44 = 627.57 : x
  2. Step 2: Convert to fraction form
    1,493.19/2,238.44 = 627.57/x
  3. Step 3: Cross multiply
    1,493.19x = 2,238.44 × 627.57
  4. Step 4: Simplify right side
    1,493.19x = 1,404,774.65
  5. Step 5: Solve for x
    x = 1,404,774.65/1,493.19
  6. Step 6: Final answer
    x = 940.79

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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.