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Finding the Fourth Proportional to 1,448.97, 1,999.46 and 819.47

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Solution

The fourth proportional to 1,448.97, 1,999.46 and 819.47 is: 1,130.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.97 : 1,999.46 = 819.47 : x
  2. Step 2: Convert to fraction form
    1,448.97/1,999.46 = 819.47/x
  3. Step 3: Cross multiply
    1,448.97x = 1,999.46 × 819.47
  4. Step 4: Simplify right side
    1,448.97x = 1,638,483.39
  5. Step 5: Solve for x
    x = 1,638,483.39/1,448.97
  6. Step 6: Final answer
    x = 1,130.79

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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.