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Finding the Fourth Proportional to 1,110.24, 1,663.92 and 720.18

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Solution

The fourth proportional to 1,110.24, 1,663.92 and 720.18 is: 1,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.24 : 1,663.92 = 720.18 : x
  2. Step 2: Convert to fraction form
    1,110.24/1,663.92 = 720.18/x
  3. Step 3: Cross multiply
    1,110.24x = 1,663.92 × 720.18
  4. Step 4: Simplify right side
    1,110.24x = 1,198,321.91
  5. Step 5: Solve for x
    x = 1,198,321.91/1,110.24
  6. Step 6: Final answer
    x = 1,079.34

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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.