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Finding the Fourth Proportional to 1,634.00, 2,450.21 and 659.36

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Solution

The fourth proportional to 1,634.00, 2,450.21 and 659.36 is: 988.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.00 : 2,450.21 = 659.36 : x
  2. Step 2: Convert to fraction form
    1,634.00/2,450.21 = 659.36/x
  3. Step 3: Cross multiply
    1,634.00x = 2,450.21 × 659.36
  4. Step 4: Simplify right side
    1,634.00x = 1,615,554.92
  5. Step 5: Solve for x
    x = 1,615,554.92/1,634.00
  6. Step 6: Final answer
    x = 988.71

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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.