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Finding the Fourth Proportional to 1,232.35, 1,849.32 and 539.03

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Solution

The fourth proportional to 1,232.35, 1,849.32 and 539.03 is: 808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.35 : 1,849.32 = 539.03 : x
  2. Step 2: Convert to fraction form
    1,232.35/1,849.32 = 539.03/x
  3. Step 3: Cross multiply
    1,232.35x = 1,849.32 × 539.03
  4. Step 4: Simplify right side
    1,232.35x = 996,843.58
  5. Step 5: Solve for x
    x = 996,843.58/1,232.35
  6. Step 6: Final answer
    x = 808.90

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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.