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Finding the Fourth Proportional to 634.09, 951.14 and 506.65

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Solution

The fourth proportional to 634.09, 951.14 and 506.65 is: 759.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.09 : 951.14 = 506.65 : x
  2. Step 2: Convert to fraction form
    634.09/951.14 = 506.65/x
  3. Step 3: Cross multiply
    634.09x = 951.14 × 506.65
  4. Step 4: Simplify right side
    634.09x = 481,895.08
  5. Step 5: Solve for x
    x = 481,895.08/634.09
  6. Step 6: Final answer
    x = 759.98

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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.