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Finding the Fourth Proportional to 1,105.54, 1,657.98 and 796.46

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Solution

The fourth proportional to 1,105.54, 1,657.98 and 796.46 is: 1,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.54 : 1,657.98 = 796.46 : x
  2. Step 2: Convert to fraction form
    1,105.54/1,657.98 = 796.46/x
  3. Step 3: Cross multiply
    1,105.54x = 1,657.98 × 796.46
  4. Step 4: Simplify right side
    1,105.54x = 1,320,514.75
  5. Step 5: Solve for x
    x = 1,320,514.75/1,105.54
  6. Step 6: Final answer
    x = 1,194.45

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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.