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Finding the Fourth Proportional to 1,448.54, 1,999.03 and 827.74

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Solution

The fourth proportional to 1,448.54, 1,999.03 and 827.74 is: 1,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.54 : 1,999.03 = 827.74 : x
  2. Step 2: Convert to fraction form
    1,448.54/1,999.03 = 827.74/x
  3. Step 3: Cross multiply
    1,448.54x = 1,999.03 × 827.74
  4. Step 4: Simplify right side
    1,448.54x = 1,654,677.09
  5. Step 5: Solve for x
    x = 1,654,677.09/1,448.54
  6. Step 6: Final answer
    x = 1,142.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.