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Finding the Fourth Proportional to 1,396.47, 2,092.40 and 702.43

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Solution

The fourth proportional to 1,396.47, 2,092.40 and 702.43 is: 1,052.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.47 : 2,092.40 = 702.43 : x
  2. Step 2: Convert to fraction form
    1,396.47/2,092.40 = 702.43/x
  3. Step 3: Cross multiply
    1,396.47x = 2,092.40 × 702.43
  4. Step 4: Simplify right side
    1,396.47x = 1,469,764.53
  5. Step 5: Solve for x
    x = 1,469,764.53/1,396.47
  6. Step 6: Final answer
    x = 1,052.49

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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.