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Finding the Fourth Proportional to 1,238.41, 1,857.60 and 508

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Solution

The fourth proportional to 1,238.41, 1,857.60 and 508 is: 761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.41 : 1,857.60 = 508 : x
  2. Step 2: Convert to fraction form
    1,238.41/1,857.60 = 508/x
  3. Step 3: Cross multiply
    1,238.41x = 1,857.60 × 508
  4. Step 4: Simplify right side
    1,238.41x = 943,660.80
  5. Step 5: Solve for x
    x = 943,660.80/1,238.41
  6. Step 6: Final answer
    x = 761.99

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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.