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Finding the Fourth Proportional to 797.90, 1,196.84 and 310.95

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Solution

The fourth proportional to 797.90, 1,196.84 and 310.95 is: 466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.90 : 1,196.84 = 310.95 : x
  2. Step 2: Convert to fraction form
    797.90/1,196.84 = 310.95/x
  3. Step 3: Cross multiply
    797.90x = 1,196.84 × 310.95
  4. Step 4: Simplify right side
    797.90x = 372,155.84
  5. Step 5: Solve for x
    x = 372,155.84/797.90
  6. Step 6: Final answer
    x = 466.42

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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.