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Finding the Fourth Proportional to 842.63, 1,264.36 and 380.73

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Solution

The fourth proportional to 842.63, 1,264.36 and 380.73 is: 571.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.63 : 1,264.36 = 380.73 : x
  2. Step 2: Convert to fraction form
    842.63/1,264.36 = 380.73/x
  3. Step 3: Cross multiply
    842.63x = 1,264.36 × 380.73
  4. Step 4: Simplify right side
    842.63x = 481,379.78
  5. Step 5: Solve for x
    x = 481,379.78/842.63
  6. Step 6: Final answer
    x = 571.28

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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.