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Finding the Fourth Proportional to 1,204.95, 1,662.34 and 680.88

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Solution

The fourth proportional to 1,204.95, 1,662.34 and 680.88 is: 939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.95 : 1,662.34 = 680.88 : x
  2. Step 2: Convert to fraction form
    1,204.95/1,662.34 = 680.88/x
  3. Step 3: Cross multiply
    1,204.95x = 1,662.34 × 680.88
  4. Step 4: Simplify right side
    1,204.95x = 1,131,854.06
  5. Step 5: Solve for x
    x = 1,131,854.06/1,204.95
  6. Step 6: Final answer
    x = 939.34

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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.