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Finding the Fourth Proportional to 776.27, 1,164.87 and 289.73

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Solution

The fourth proportional to 776.27, 1,164.87 and 289.73 is: 434.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.27 : 1,164.87 = 289.73 : x
  2. Step 2: Convert to fraction form
    776.27/1,164.87 = 289.73/x
  3. Step 3: Cross multiply
    776.27x = 1,164.87 × 289.73
  4. Step 4: Simplify right side
    776.27x = 337,491.96
  5. Step 5: Solve for x
    x = 337,491.96/776.27
  6. Step 6: Final answer
    x = 434.76

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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.