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Finding the Fourth Proportional to 1,448.76, 1,999.30 and 827.76

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Solution

The fourth proportional to 1,448.76, 1,999.30 and 827.76 is: 1,142.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.76 : 1,999.30 = 827.76 : x
  2. Step 2: Convert to fraction form
    1,448.76/1,999.30 = 827.76/x
  3. Step 3: Cross multiply
    1,448.76x = 1,999.30 × 827.76
  4. Step 4: Simplify right side
    1,448.76x = 1,654,940.57
  5. Step 5: Solve for x
    x = 1,654,940.57/1,448.76
  6. Step 6: Final answer
    x = 1,142.32

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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.