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Finding the Fourth Proportional to 1,549.25, 2,324.54 and 727.46

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Solution

The fourth proportional to 1,549.25, 2,324.54 and 727.46 is: 1,091.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.25 : 2,324.54 = 727.46 : x
  2. Step 2: Convert to fraction form
    1,549.25/2,324.54 = 727.46/x
  3. Step 3: Cross multiply
    1,549.25x = 2,324.54 × 727.46
  4. Step 4: Simplify right side
    1,549.25x = 1,691,000.06
  5. Step 5: Solve for x
    x = 1,691,000.06/1,549.25
  6. Step 6: Final answer
    x = 1,091.50

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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.