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Finding the Fourth Proportional to 1,394.74, 2,092.38 and 701.56

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Solution

The fourth proportional to 1,394.74, 2,092.38 and 701.56 is: 1,052.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.74 : 2,092.38 = 701.56 : x
  2. Step 2: Convert to fraction form
    1,394.74/2,092.38 = 701.56/x
  3. Step 3: Cross multiply
    1,394.74x = 2,092.38 × 701.56
  4. Step 4: Simplify right side
    1,394.74x = 1,467,930.11
  5. Step 5: Solve for x
    x = 1,467,930.11/1,394.74
  6. Step 6: Final answer
    x = 1,052.48

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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.