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Finding the Fourth Proportional to 1,205.37, 1,806.84 and 512.49

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Solution

The fourth proportional to 1,205.37, 1,806.84 and 512.49 is: 768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.37 : 1,806.84 = 512.49 : x
  2. Step 2: Convert to fraction form
    1,205.37/1,806.84 = 512.49/x
  3. Step 3: Cross multiply
    1,205.37x = 1,806.84 × 512.49
  4. Step 4: Simplify right side
    1,205.37x = 925,987.43
  5. Step 5: Solve for x
    x = 925,987.43/1,205.37
  6. Step 6: Final answer
    x = 768.22

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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.