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Finding the Fourth Proportional to 794.98, 1,191.93 and 506.62

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Solution

The fourth proportional to 794.98, 1,191.93 and 506.62 is: 759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.98 : 1,191.93 = 506.62 : x
  2. Step 2: Convert to fraction form
    794.98/1,191.93 = 506.62/x
  3. Step 3: Cross multiply
    794.98x = 1,191.93 × 506.62
  4. Step 4: Simplify right side
    794.98x = 603,855.58
  5. Step 5: Solve for x
    x = 603,855.58/794.98
  6. Step 6: Final answer
    x = 759.59

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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.