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Finding the Fourth Proportional to 1,227.10, 1,839.30 and 533.65

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Solution

The fourth proportional to 1,227.10, 1,839.30 and 533.65 is: 799.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.10 : 1,839.30 = 533.65 : x
  2. Step 2: Convert to fraction form
    1,227.10/1,839.30 = 533.65/x
  3. Step 3: Cross multiply
    1,227.10x = 1,839.30 × 533.65
  4. Step 4: Simplify right side
    1,227.10x = 981,542.45
  5. Step 5: Solve for x
    x = 981,542.45/1,227.10
  6. Step 6: Final answer
    x = 799.89

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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.