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Finding the Fourth Proportional to 796.68, 1,193.84 and 309.16

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Solution

The fourth proportional to 796.68, 1,193.84 and 309.16 is: 463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.68 : 1,193.84 = 309.16 : x
  2. Step 2: Convert to fraction form
    796.68/1,193.84 = 309.16/x
  3. Step 3: Cross multiply
    796.68x = 1,193.84 × 309.16
  4. Step 4: Simplify right side
    796.68x = 369,087.57
  5. Step 5: Solve for x
    x = 369,087.57/796.68
  6. Step 6: Final answer
    x = 463.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.