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Finding the Fourth Proportional to 1,205.88, 1,809.46 and 773.88

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Solution

The fourth proportional to 1,205.88, 1,809.46 and 773.88 is: 1,161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.88 : 1,809.46 = 773.88 : x
  2. Step 2: Convert to fraction form
    1,205.88/1,809.46 = 773.88/x
  3. Step 3: Cross multiply
    1,205.88x = 1,809.46 × 773.88
  4. Step 4: Simplify right side
    1,205.88x = 1,400,304.90
  5. Step 5: Solve for x
    x = 1,400,304.90/1,205.88
  6. Step 6: Final answer
    x = 1,161.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.