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Finding the Fourth Proportional to 1,227.83, 1,842.09 and 534.56

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Solution

The fourth proportional to 1,227.83, 1,842.09 and 534.56 is: 801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.83 : 1,842.09 = 534.56 : x
  2. Step 2: Convert to fraction form
    1,227.83/1,842.09 = 534.56/x
  3. Step 3: Cross multiply
    1,227.83x = 1,842.09 × 534.56
  4. Step 4: Simplify right side
    1,227.83x = 984,695.75
  5. Step 5: Solve for x
    x = 984,695.75/1,227.83
  6. Step 6: Final answer
    x = 801.98

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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.