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Finding the Fourth Proportional to 1,234.37, 1,850.52 and 493.52

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Solution

The fourth proportional to 1,234.37, 1,850.52 and 493.52 is: 739.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.37 : 1,850.52 = 493.52 : x
  2. Step 2: Convert to fraction form
    1,234.37/1,850.52 = 493.52/x
  3. Step 3: Cross multiply
    1,234.37x = 1,850.52 × 493.52
  4. Step 4: Simplify right side
    1,234.37x = 913,259.38
  5. Step 5: Solve for x
    x = 913,259.38/1,234.37
  6. Step 6: Final answer
    x = 739.86

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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.