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Finding the Fourth Proportional to 727.25, 1,091.10 and 214.25

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Solution

The fourth proportional to 727.25, 1,091.10 and 214.25 is: 321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.25 : 1,091.10 = 214.25 : x
  2. Step 2: Convert to fraction form
    727.25/1,091.10 = 214.25/x
  3. Step 3: Cross multiply
    727.25x = 1,091.10 × 214.25
  4. Step 4: Simplify right side
    727.25x = 233,768.18
  5. Step 5: Solve for x
    x = 233,768.18/727.25
  6. Step 6: Final answer
    x = 321.44

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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.