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Finding the Fourth Proportional to 797.05, 1,195.98 and 523.27

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Solution

The fourth proportional to 797.05, 1,195.98 and 523.27 is: 785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.05 : 1,195.98 = 523.27 : x
  2. Step 2: Convert to fraction form
    797.05/1,195.98 = 523.27/x
  3. Step 3: Cross multiply
    797.05x = 1,195.98 × 523.27
  4. Step 4: Simplify right side
    797.05x = 625,820.45
  5. Step 5: Solve for x
    x = 625,820.45/797.05
  6. Step 6: Final answer
    x = 785.17

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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.