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Finding the Fourth Proportional to 1,205.85, 1,662.81 and 1,073.22

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Solution

The fourth proportional to 1,205.85, 1,662.81 and 1,073.22 is: 1,479.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.85 : 1,662.81 = 1,073.22 : x
  2. Step 2: Convert to fraction form
    1,205.85/1,662.81 = 1,073.22/x
  3. Step 3: Cross multiply
    1,205.85x = 1,662.81 × 1,073.22
  4. Step 4: Simplify right side
    1,205.85x = 1,784,560.95
  5. Step 5: Solve for x
    x = 1,784,560.95/1,205.85
  6. Step 6: Final answer
    x = 1,479.92

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Why These Related Problems?

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