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Finding the Fourth Proportional to 1,693.44, 2,538.41 and 706.82

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Solution

The fourth proportional to 1,693.44, 2,538.41 and 706.82 is: 1,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,693.44 : 2,538.41 = 706.82 : x
  2. Step 2: Convert to fraction form
    1,693.44/2,538.41 = 706.82/x
  3. Step 3: Cross multiply
    1,693.44x = 2,538.41 × 706.82
  4. Step 4: Simplify right side
    1,693.44x = 1,794,198.96
  5. Step 5: Solve for x
    x = 1,794,198.96/1,693.44
  6. Step 6: Final answer
    x = 1,059.50

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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.