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Finding the Fourth Proportional to 796.53, 1,193.57 and 334.06

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Solution

The fourth proportional to 796.53, 1,193.57 and 334.06 is: 500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.53 : 1,193.57 = 334.06 : x
  2. Step 2: Convert to fraction form
    796.53/1,193.57 = 334.06/x
  3. Step 3: Cross multiply
    796.53x = 1,193.57 × 334.06
  4. Step 4: Simplify right side
    796.53x = 398,721.85
  5. Step 5: Solve for x
    x = 398,721.85/796.53
  6. Step 6: Final answer
    x = 500.57

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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.