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Finding the Fourth Proportional to 797.36, 1,196.48 and 310.44

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Solution

The fourth proportional to 797.36, 1,196.48 and 310.44 is: 465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.36 : 1,196.48 = 310.44 : x
  2. Step 2: Convert to fraction form
    797.36/1,196.48 = 310.44/x
  3. Step 3: Cross multiply
    797.36x = 1,196.48 × 310.44
  4. Step 4: Simplify right side
    797.36x = 371,435.25
  5. Step 5: Solve for x
    x = 371,435.25/797.36
  6. Step 6: Final answer
    x = 465.83

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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.