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Finding the Fourth Proportional to 793.85, 1,188.41 and 546.53

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Solution

The fourth proportional to 793.85, 1,188.41 and 546.53 is: 818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.85 : 1,188.41 = 546.53 : x
  2. Step 2: Convert to fraction form
    793.85/1,188.41 = 546.53/x
  3. Step 3: Cross multiply
    793.85x = 1,188.41 × 546.53
  4. Step 4: Simplify right side
    793.85x = 649,493.04
  5. Step 5: Solve for x
    x = 649,493.04/793.85
  6. Step 6: Final answer
    x = 818.16

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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.