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Finding the Fourth Proportional to 1,738.07, 2,606.79 and 698.03

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Solution

The fourth proportional to 1,738.07, 2,606.79 and 698.03 is: 1,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.07 : 2,606.79 = 698.03 : x
  2. Step 2: Convert to fraction form
    1,738.07/2,606.79 = 698.03/x
  3. Step 3: Cross multiply
    1,738.07x = 2,606.79 × 698.03
  4. Step 4: Simplify right side
    1,738.07x = 1,819,608.49
  5. Step 5: Solve for x
    x = 1,819,608.49/1,738.07
  6. Step 6: Final answer
    x = 1,046.91

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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.