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Finding the Fourth Proportional to 1,605.99, 2,409.01 and 680.97

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Solution

The fourth proportional to 1,605.99, 2,409.01 and 680.97 is: 1,021.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.99 : 2,409.01 = 680.97 : x
  2. Step 2: Convert to fraction form
    1,605.99/2,409.01 = 680.97/x
  3. Step 3: Cross multiply
    1,605.99x = 2,409.01 × 680.97
  4. Step 4: Simplify right side
    1,605.99x = 1,640,470.87
  5. Step 5: Solve for x
    x = 1,640,470.87/1,605.99
  6. Step 6: Final answer
    x = 1,021.47

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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.