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Finding the Fourth Proportional to 1,706.44, 2,556.89 and 665.27

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Solution

The fourth proportional to 1,706.44, 2,556.89 and 665.27 is: 996.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.44 : 2,556.89 = 665.27 : x
  2. Step 2: Convert to fraction form
    1,706.44/2,556.89 = 665.27/x
  3. Step 3: Cross multiply
    1,706.44x = 2,556.89 × 665.27
  4. Step 4: Simplify right side
    1,706.44x = 1,701,008.59
  5. Step 5: Solve for x
    x = 1,701,008.59/1,706.44
  6. Step 6: Final answer
    x = 996.82

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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.