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Finding the Fourth Proportional to 1,108.00, 1,659.89 and 662.34

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Solution

The fourth proportional to 1,108.00, 1,659.89 and 662.34 is: 992.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.00 : 1,659.89 = 662.34 : x
  2. Step 2: Convert to fraction form
    1,108.00/1,659.89 = 662.34/x
  3. Step 3: Cross multiply
    1,108.00x = 1,659.89 × 662.34
  4. Step 4: Simplify right side
    1,108.00x = 1,099,419.42
  5. Step 5: Solve for x
    x = 1,099,419.42/1,108.00
  6. Step 6: Final answer
    x = 992.26

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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.