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Finding the Fourth Proportional to 1,232.33, 1,849.72 and 539.48

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Solution

The fourth proportional to 1,232.33, 1,849.72 and 539.48 is: 809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.33 : 1,849.72 = 539.48 : x
  2. Step 2: Convert to fraction form
    1,232.33/1,849.72 = 539.48/x
  3. Step 3: Cross multiply
    1,232.33x = 1,849.72 × 539.48
  4. Step 4: Simplify right side
    1,232.33x = 997,876.35
  5. Step 5: Solve for x
    x = 997,876.35/1,232.33
  6. Step 6: Final answer
    x = 809.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.