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Finding the Fourth Proportional to 1,205.35, 1,662.12 and 1,072.72

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Solution

The fourth proportional to 1,205.35, 1,662.12 and 1,072.72 is: 1,479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.35 : 1,662.12 = 1,072.72 : x
  2. Step 2: Convert to fraction form
    1,205.35/1,662.12 = 1,072.72/x
  3. Step 3: Cross multiply
    1,205.35x = 1,662.12 × 1,072.72
  4. Step 4: Simplify right side
    1,205.35x = 1,782,989.37
  5. Step 5: Solve for x
    x = 1,782,989.37/1,205.35
  6. Step 6: Final answer
    x = 1,479.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.