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Finding the Fourth Proportional to 1,111.68, 1,665.60 and 819.36

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Solution

The fourth proportional to 1,111.68, 1,665.60 and 819.36 is: 1,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.68 : 1,665.60 = 819.36 : x
  2. Step 2: Convert to fraction form
    1,111.68/1,665.60 = 819.36/x
  3. Step 3: Cross multiply
    1,111.68x = 1,665.60 × 819.36
  4. Step 4: Simplify right side
    1,111.68x = 1,364,726.02
  5. Step 5: Solve for x
    x = 1,364,726.02/1,111.68
  6. Step 6: Final answer
    x = 1,227.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.