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Finding the Fourth Proportional to 1,074.21, 1,481.45 and 725.37

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Solution

The fourth proportional to 1,074.21, 1,481.45 and 725.37 is: 1,000.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.21 : 1,481.45 = 725.37 : x
  2. Step 2: Convert to fraction form
    1,074.21/1,481.45 = 725.37/x
  3. Step 3: Cross multiply
    1,074.21x = 1,481.45 × 725.37
  4. Step 4: Simplify right side
    1,074.21x = 1,074,599.39
  5. Step 5: Solve for x
    x = 1,074,599.39/1,074.21
  6. Step 6: Final answer
    x = 1,000.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.