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Finding the Fourth Proportional to 629.99, 943.37 and 506.02

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Solution

The fourth proportional to 629.99, 943.37 and 506.02 is: 757.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    629.99 : 943.37 = 506.02 : x
  2. Step 2: Convert to fraction form
    629.99/943.37 = 506.02/x
  3. Step 3: Cross multiply
    629.99x = 943.37 × 506.02
  4. Step 4: Simplify right side
    629.99x = 477,356.84
  5. Step 5: Solve for x
    x = 477,356.84/629.99
  6. Step 6: Final answer
    x = 757.72

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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.