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Finding the Fourth Proportional to 1,199.54, 1,654.91 and 727.26

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Solution

The fourth proportional to 1,199.54, 1,654.91 and 727.26 is: 1,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.54 : 1,654.91 = 727.26 : x
  2. Step 2: Convert to fraction form
    1,199.54/1,654.91 = 727.26/x
  3. Step 3: Cross multiply
    1,199.54x = 1,654.91 × 727.26
  4. Step 4: Simplify right side
    1,199.54x = 1,203,546.21
  5. Step 5: Solve for x
    x = 1,203,546.21/1,199.54
  6. Step 6: Final answer
    x = 1,003.34

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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.