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Finding the Fourth Proportional to 1,109.22, 1,662.81 and 582.04

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Solution

The fourth proportional to 1,109.22, 1,662.81 and 582.04 is: 872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.22 : 1,662.81 = 582.04 : x
  2. Step 2: Convert to fraction form
    1,109.22/1,662.81 = 582.04/x
  3. Step 3: Cross multiply
    1,109.22x = 1,662.81 × 582.04
  4. Step 4: Simplify right side
    1,109.22x = 967,821.93
  5. Step 5: Solve for x
    x = 967,821.93/1,109.22
  6. Step 6: Final answer
    x = 872.52

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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.