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Finding the Fourth Proportional to 1,704.41, 2,556.66 and 664.37

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Solution

The fourth proportional to 1,704.41, 2,556.66 and 664.37 is: 996.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.41 : 2,556.66 = 664.37 : x
  2. Step 2: Convert to fraction form
    1,704.41/2,556.66 = 664.37/x
  3. Step 3: Cross multiply
    1,704.41x = 2,556.66 × 664.37
  4. Step 4: Simplify right side
    1,704.41x = 1,698,567.50
  5. Step 5: Solve for x
    x = 1,698,567.50/1,704.41
  6. Step 6: Final answer
    x = 996.57

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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.