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Finding the Fourth Proportional to 629.85, 945.73 and 513.06

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Solution

The fourth proportional to 629.85, 945.73 and 513.06 is: 770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.85 : 945.73 = 513.06 : x
  2. Step 2: Convert to fraction form
    629.85/945.73 = 513.06/x
  3. Step 3: Cross multiply
    629.85x = 945.73 × 513.06
  4. Step 4: Simplify right side
    629.85x = 485,213.10
  5. Step 5: Solve for x
    x = 485,213.10/629.85
  6. Step 6: Final answer
    x = 770.36

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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.