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Finding the Fourth Proportional to 1,111.38, 1,663.98 and 721.83

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Solution

The fourth proportional to 1,111.38, 1,663.98 and 721.83 is: 1,080.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.38 : 1,663.98 = 721.83 : x
  2. Step 2: Convert to fraction form
    1,111.38/1,663.98 = 721.83/x
  3. Step 3: Cross multiply
    1,111.38x = 1,663.98 × 721.83
  4. Step 4: Simplify right side
    1,111.38x = 1,201,110.68
  5. Step 5: Solve for x
    x = 1,201,110.68/1,111.38
  6. Step 6: Final answer
    x = 1,080.74

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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.