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Finding the Fourth Proportional to 796.74, 1,194.50 and 614.50

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Solution

The fourth proportional to 796.74, 1,194.50 and 614.50 is: 921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.74 : 1,194.50 = 614.50 : x
  2. Step 2: Convert to fraction form
    796.74/1,194.50 = 614.50/x
  3. Step 3: Cross multiply
    796.74x = 1,194.50 × 614.50
  4. Step 4: Simplify right side
    796.74x = 734,020.25
  5. Step 5: Solve for x
    x = 734,020.25/796.74
  6. Step 6: Final answer
    x = 921.28

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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.