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Finding the Fourth Proportional to 997.95, 1,376.94 and 578.22

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Solution

The fourth proportional to 997.95, 1,376.94 and 578.22 is: 797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.95 : 1,376.94 = 578.22 : x
  2. Step 2: Convert to fraction form
    997.95/1,376.94 = 578.22/x
  3. Step 3: Cross multiply
    997.95x = 1,376.94 × 578.22
  4. Step 4: Simplify right side
    997.95x = 796,174.25
  5. Step 5: Solve for x
    x = 796,174.25/997.95
  6. Step 6: Final answer
    x = 797.81

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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.