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Finding the Fourth Proportional to 775.85, 1,164.17 and 429.44

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Solution

The fourth proportional to 775.85, 1,164.17 and 429.44 is: 644.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.85 : 1,164.17 = 429.44 : x
  2. Step 2: Convert to fraction form
    775.85/1,164.17 = 429.44/x
  3. Step 3: Cross multiply
    775.85x = 1,164.17 × 429.44
  4. Step 4: Simplify right side
    775.85x = 499,936.42
  5. Step 5: Solve for x
    x = 499,936.42/775.85
  6. Step 6: Final answer
    x = 644.38

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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.