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Finding the Fourth Proportional to 1,654.87, 2,480.14 and 680.44

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Solution

The fourth proportional to 1,654.87, 2,480.14 and 680.44 is: 1,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.87 : 2,480.14 = 680.44 : x
  2. Step 2: Convert to fraction form
    1,654.87/2,480.14 = 680.44/x
  3. Step 3: Cross multiply
    1,654.87x = 2,480.14 × 680.44
  4. Step 4: Simplify right side
    1,654.87x = 1,687,586.46
  5. Step 5: Solve for x
    x = 1,687,586.46/1,654.87
  6. Step 6: Final answer
    x = 1,019.77

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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.