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Finding the Fourth Proportional to 1,448.78, 1,999.09 and 819.27

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Solution

The fourth proportional to 1,448.78, 1,999.09 and 819.27 is: 1,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.78 : 1,999.09 = 819.27 : x
  2. Step 2: Convert to fraction form
    1,448.78/1,999.09 = 819.27/x
  3. Step 3: Cross multiply
    1,448.78x = 1,999.09 × 819.27
  4. Step 4: Simplify right side
    1,448.78x = 1,637,784.47
  5. Step 5: Solve for x
    x = 1,637,784.47/1,448.78
  6. Step 6: Final answer
    x = 1,130.46

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