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Finding the Fourth Proportional to 996.65, 1,375.41 and 576.99

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Solution

The fourth proportional to 996.65, 1,375.41 and 576.99 is: 796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.65 : 1,375.41 = 576.99 : x
  2. Step 2: Convert to fraction form
    996.65/1,375.41 = 576.99/x
  3. Step 3: Cross multiply
    996.65x = 1,375.41 × 576.99
  4. Step 4: Simplify right side
    996.65x = 793,597.82
  5. Step 5: Solve for x
    x = 793,597.82/996.65
  6. Step 6: Final answer
    x = 796.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.