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Finding the Fourth Proportional to 1,238.60, 1,857.89 and 498.54

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Solution

The fourth proportional to 1,238.60, 1,857.89 and 498.54 is: 747.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.60 : 1,857.89 = 498.54 : x
  2. Step 2: Convert to fraction form
    1,238.60/1,857.89 = 498.54/x
  3. Step 3: Cross multiply
    1,238.60x = 1,857.89 × 498.54
  4. Step 4: Simplify right side
    1,238.60x = 926,232.48
  5. Step 5: Solve for x
    x = 926,232.48/1,238.60
  6. Step 6: Final answer
    x = 747.81

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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.