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Finding the Fourth Proportional to 997.86, 1,377.09 and 578.23

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Solution

The fourth proportional to 997.86, 1,377.09 and 578.23 is: 797.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.86 : 1,377.09 = 578.23 : x
  2. Step 2: Convert to fraction form
    997.86/1,377.09 = 578.23/x
  3. Step 3: Cross multiply
    997.86x = 1,377.09 × 578.23
  4. Step 4: Simplify right side
    997.86x = 796,274.75
  5. Step 5: Solve for x
    x = 796,274.75/997.86
  6. Step 6: Final answer
    x = 797.98

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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.