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Finding the Fourth Proportional to 1,105.56, 1,657.56 and 994.83

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Solution

The fourth proportional to 1,105.56, 1,657.56 and 994.83 is: 1,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.56 : 1,657.56 = 994.83 : x
  2. Step 2: Convert to fraction form
    1,105.56/1,657.56 = 994.83/x
  3. Step 3: Cross multiply
    1,105.56x = 1,657.56 × 994.83
  4. Step 4: Simplify right side
    1,105.56x = 1,648,990.41
  5. Step 5: Solve for x
    x = 1,648,990.41/1,105.56
  6. Step 6: Final answer
    x = 1,491.54

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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.