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Finding the Fourth Proportional to 1,111.63, 1,657.31 and 1,083.23

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Solution

The fourth proportional to 1,111.63, 1,657.31 and 1,083.23 is: 1,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.63 : 1,657.31 = 1,083.23 : x
  2. Step 2: Convert to fraction form
    1,111.63/1,657.31 = 1,083.23/x
  3. Step 3: Cross multiply
    1,111.63x = 1,657.31 × 1,083.23
  4. Step 4: Simplify right side
    1,111.63x = 1,795,246.48
  5. Step 5: Solve for x
    x = 1,795,246.48/1,111.63
  6. Step 6: Final answer
    x = 1,614.97

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.