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Finding the Fourth Proportional to 796.98, 1,195.14 and 309.76

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Solution

The fourth proportional to 796.98, 1,195.14 and 309.76 is: 464.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.98 : 1,195.14 = 309.76 : x
  2. Step 2: Convert to fraction form
    796.98/1,195.14 = 309.76/x
  3. Step 3: Cross multiply
    796.98x = 1,195.14 × 309.76
  4. Step 4: Simplify right side
    796.98x = 370,206.57
  5. Step 5: Solve for x
    x = 370,206.57/796.98
  6. Step 6: Final answer
    x = 464.51

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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.