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Finding the Fourth Proportional to 1,109.92, 1,662.72 and 724

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Solution

The fourth proportional to 1,109.92, 1,662.72 and 724 is: 1,084.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.92 : 1,662.72 = 724 : x
  2. Step 2: Convert to fraction form
    1,109.92/1,662.72 = 724/x
  3. Step 3: Cross multiply
    1,109.92x = 1,662.72 × 724
  4. Step 4: Simplify right side
    1,109.92x = 1,203,809.28
  5. Step 5: Solve for x
    x = 1,203,809.28/1,109.92
  6. Step 6: Final answer
    x = 1,084.59

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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.