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Finding the Fourth Proportional to 1,204.22, 1,805.31 and 511.43

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Solution

The fourth proportional to 1,204.22, 1,805.31 and 511.43 is: 766.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.22 : 1,805.31 = 511.43 : x
  2. Step 2: Convert to fraction form
    1,204.22/1,805.31 = 511.43/x
  3. Step 3: Cross multiply
    1,204.22x = 1,805.31 × 511.43
  4. Step 4: Simplify right side
    1,204.22x = 923,280.67
  5. Step 5: Solve for x
    x = 923,280.67/1,204.22
  6. Step 6: Final answer
    x = 766.71

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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.