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Finding the Fourth Proportional to 662.88, 993 and 506.85

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Solution

The fourth proportional to 662.88, 993 and 506.85 is: 759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.88 : 993 = 506.85 : x
  2. Step 2: Convert to fraction form
    662.88/993 = 506.85/x
  3. Step 3: Cross multiply
    662.88x = 993 × 506.85
  4. Step 4: Simplify right side
    662.88x = 503,302.05
  5. Step 5: Solve for x
    x = 503,302.05/662.88
  6. Step 6: Final answer
    x = 759.27

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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.