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Finding the Fourth Proportional to 1,448.45, 1,998.76 and 819.01

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Solution

The fourth proportional to 1,448.45, 1,998.76 and 819.01 is: 1,130.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.45 : 1,998.76 = 819.01 : x
  2. Step 2: Convert to fraction form
    1,448.45/1,998.76 = 819.01/x
  3. Step 3: Cross multiply
    1,448.45x = 1,998.76 × 819.01
  4. Step 4: Simplify right side
    1,448.45x = 1,637,004.43
  5. Step 5: Solve for x
    x = 1,637,004.43/1,448.45
  6. Step 6: Final answer
    x = 1,130.18

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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.