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Finding the Fourth Proportional to 797.46, 1,198.62 and 780.46

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Solution

The fourth proportional to 797.46, 1,198.62 and 780.46 is: 1,173.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.46 : 1,198.62 = 780.46 : x
  2. Step 2: Convert to fraction form
    797.46/1,198.62 = 780.46/x
  3. Step 3: Cross multiply
    797.46x = 1,198.62 × 780.46
  4. Step 4: Simplify right side
    797.46x = 935,474.97
  5. Step 5: Solve for x
    x = 935,474.97/797.46
  6. Step 6: Final answer
    x = 1,173.07

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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.