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Finding the Fourth Proportional to 776.11, 1,164.21 and 255.97

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Solution

The fourth proportional to 776.11, 1,164.21 and 255.97 is: 383.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.11 : 1,164.21 = 255.97 : x
  2. Step 2: Convert to fraction form
    776.11/1,164.21 = 255.97/x
  3. Step 3: Cross multiply
    776.11x = 1,164.21 × 255.97
  4. Step 4: Simplify right side
    776.11x = 298,002.83
  5. Step 5: Solve for x
    x = 298,002.83/776.11
  6. Step 6: Final answer
    x = 383.97

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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.