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Finding the Fourth Proportional to 796.30, 1,192.38 and 611.82

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Solution

The fourth proportional to 796.30, 1,192.38 and 611.82 is: 916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.30 : 1,192.38 = 611.82 : x
  2. Step 2: Convert to fraction form
    796.30/1,192.38 = 611.82/x
  3. Step 3: Cross multiply
    796.30x = 1,192.38 × 611.82
  4. Step 4: Simplify right side
    796.30x = 729,521.93
  5. Step 5: Solve for x
    x = 729,521.93/796.30
  6. Step 6: Final answer
    x = 916.14

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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.