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Finding the Fourth Proportional to 1,238.13, 1,857.69 and 544.44

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Solution

The fourth proportional to 1,238.13, 1,857.69 and 544.44 is: 816.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.13 : 1,857.69 = 544.44 : x
  2. Step 2: Convert to fraction form
    1,238.13/1,857.69 = 544.44/x
  3. Step 3: Cross multiply
    1,238.13x = 1,857.69 × 544.44
  4. Step 4: Simplify right side
    1,238.13x = 1,011,400.74
  5. Step 5: Solve for x
    x = 1,011,400.74/1,238.13
  6. Step 6: Final answer
    x = 816.88

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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.