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Finding the Fourth Proportional to 1,104.22, 1,656.60 and 548.43

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Solution

The fourth proportional to 1,104.22, 1,656.60 and 548.43 is: 822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.22 : 1,656.60 = 548.43 : x
  2. Step 2: Convert to fraction form
    1,104.22/1,656.60 = 548.43/x
  3. Step 3: Cross multiply
    1,104.22x = 1,656.60 × 548.43
  4. Step 4: Simplify right side
    1,104.22x = 908,529.14
  5. Step 5: Solve for x
    x = 908,529.14/1,104.22
  6. Step 6: Final answer
    x = 822.78

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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.