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Finding the Fourth Proportional to 1,227.96, 1,842.24 and 578.54

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Solution

The fourth proportional to 1,227.96, 1,842.24 and 578.54 is: 867.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.96 : 1,842.24 = 578.54 : x
  2. Step 2: Convert to fraction form
    1,227.96/1,842.24 = 578.54/x
  3. Step 3: Cross multiply
    1,227.96x = 1,842.24 × 578.54
  4. Step 4: Simplify right side
    1,227.96x = 1,065,816.30
  5. Step 5: Solve for x
    x = 1,065,816.30/1,227.96
  6. Step 6: Final answer
    x = 867.96

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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.