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Finding the Fourth Proportional to 1,204.88, 1,805.84 and 685.31

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Solution

The fourth proportional to 1,204.88, 1,805.84 and 685.31 is: 1,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.88 : 1,805.84 = 685.31 : x
  2. Step 2: Convert to fraction form
    1,204.88/1,805.84 = 685.31/x
  3. Step 3: Cross multiply
    1,204.88x = 1,805.84 × 685.31
  4. Step 4: Simplify right side
    1,204.88x = 1,237,560.21
  5. Step 5: Solve for x
    x = 1,237,560.21/1,204.88
  6. Step 6: Final answer
    x = 1,027.12

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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.