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Finding the Fourth Proportional to 1,105.57, 1,657.72 and 447.42

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Solution

The fourth proportional to 1,105.57, 1,657.72 and 447.42 is: 670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.57 : 1,657.72 = 447.42 : x
  2. Step 2: Convert to fraction form
    1,105.57/1,657.72 = 447.42/x
  3. Step 3: Cross multiply
    1,105.57x = 1,657.72 × 447.42
  4. Step 4: Simplify right side
    1,105.57x = 741,701.34
  5. Step 5: Solve for x
    x = 741,701.34/1,105.57
  6. Step 6: Final answer
    x = 670.87

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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.