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Finding the Fourth Proportional to 727.14, 1,089.81 and 264.54

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Solution

The fourth proportional to 727.14, 1,089.81 and 264.54 is: 396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.14 : 1,089.81 = 264.54 : x
  2. Step 2: Convert to fraction form
    727.14/1,089.81 = 264.54/x
  3. Step 3: Cross multiply
    727.14x = 1,089.81 × 264.54
  4. Step 4: Simplify right side
    727.14x = 288,298.34
  5. Step 5: Solve for x
    x = 288,298.34/727.14
  6. Step 6: Final answer
    x = 396.48

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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.