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Finding the Fourth Proportional to 650.63, 894.85 and 519.41

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Solution

The fourth proportional to 650.63, 894.85 and 519.41 is: 714.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.63 : 894.85 = 519.41 : x
  2. Step 2: Convert to fraction form
    650.63/894.85 = 519.41/x
  3. Step 3: Cross multiply
    650.63x = 894.85 × 519.41
  4. Step 4: Simplify right side
    650.63x = 464,794.98
  5. Step 5: Solve for x
    x = 464,794.98/650.63
  6. Step 6: Final answer
    x = 714.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.