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Finding the Fourth Proportional to 796.17, 1,195.01 and 488.62

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Solution

The fourth proportional to 796.17, 1,195.01 and 488.62 is: 733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.17 : 1,195.01 = 488.62 : x
  2. Step 2: Convert to fraction form
    796.17/1,195.01 = 488.62/x
  3. Step 3: Cross multiply
    796.17x = 1,195.01 × 488.62
  4. Step 4: Simplify right side
    796.17x = 583,905.33
  5. Step 5: Solve for x
    x = 583,905.33/796.17
  6. Step 6: Final answer
    x = 733.40

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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.