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Finding the Fourth Proportional to 1,108.82, 1,663.92 and 622.18

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Solution

The fourth proportional to 1,108.82, 1,663.92 and 622.18 is: 933.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.82 : 1,663.92 = 622.18 : x
  2. Step 2: Convert to fraction form
    1,108.82/1,663.92 = 622.18/x
  3. Step 3: Cross multiply
    1,108.82x = 1,663.92 × 622.18
  4. Step 4: Simplify right side
    1,108.82x = 1,035,257.75
  5. Step 5: Solve for x
    x = 1,035,257.75/1,108.82
  6. Step 6: Final answer
    x = 933.66

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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.