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Finding the Fourth Proportional to 775.72, 1,162.68 and 429.27

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Solution

The fourth proportional to 775.72, 1,162.68 and 429.27 is: 643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.72 : 1,162.68 = 429.27 : x
  2. Step 2: Convert to fraction form
    775.72/1,162.68 = 429.27/x
  3. Step 3: Cross multiply
    775.72x = 1,162.68 × 429.27
  4. Step 4: Simplify right side
    775.72x = 499,103.64
  5. Step 5: Solve for x
    x = 499,103.64/775.72
  6. Step 6: Final answer
    x = 643.41

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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.