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Finding the Fourth Proportional to 793.85, 1,190.34 and 442.55

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Solution

The fourth proportional to 793.85, 1,190.34 and 442.55 is: 663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.85 : 1,190.34 = 442.55 : x
  2. Step 2: Convert to fraction form
    793.85/1,190.34 = 442.55/x
  3. Step 3: Cross multiply
    793.85x = 1,190.34 × 442.55
  4. Step 4: Simplify right side
    793.85x = 526,787.94
  5. Step 5: Solve for x
    x = 526,787.94/793.85
  6. Step 6: Final answer
    x = 663.59

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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.