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Finding the Fourth Proportional to 1,109.04, 1,663.39 and 721.79

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Solution

The fourth proportional to 1,109.04, 1,663.39 and 721.79 is: 1,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.04 : 1,663.39 = 721.79 : x
  2. Step 2: Convert to fraction form
    1,109.04/1,663.39 = 721.79/x
  3. Step 3: Cross multiply
    1,109.04x = 1,663.39 × 721.79
  4. Step 4: Simplify right side
    1,109.04x = 1,200,622.39
  5. Step 5: Solve for x
    x = 1,200,622.39/1,109.04
  6. Step 6: Final answer
    x = 1,082.58

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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.