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Finding the Fourth Proportional to 1,090.62, 1,636.56 and 441.18

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Solution

The fourth proportional to 1,090.62, 1,636.56 and 441.18 is: 662.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.62 : 1,636.56 = 441.18 : x
  2. Step 2: Convert to fraction form
    1,090.62/1,636.56 = 441.18/x
  3. Step 3: Cross multiply
    1,090.62x = 1,636.56 × 441.18
  4. Step 4: Simplify right side
    1,090.62x = 722,017.54
  5. Step 5: Solve for x
    x = 722,017.54/1,090.62
  6. Step 6: Final answer
    x = 662.02

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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.