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Finding the Fourth Proportional to 796.75, 1,194.10 and 589.66

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Solution

The fourth proportional to 796.75, 1,194.10 and 589.66 is: 883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.75 : 1,194.10 = 589.66 : x
  2. Step 2: Convert to fraction form
    796.75/1,194.10 = 589.66/x
  3. Step 3: Cross multiply
    796.75x = 1,194.10 × 589.66
  4. Step 4: Simplify right side
    796.75x = 704,108.55
  5. Step 5: Solve for x
    x = 704,108.55/796.75
  6. Step 6: Final answer
    x = 883.73

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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.