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Finding the Fourth Proportional to 793.33, 1,188.84 and 546.28

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Solution

The fourth proportional to 793.33, 1,188.84 and 546.28 is: 818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.33 : 1,188.84 = 546.28 : x
  2. Step 2: Convert to fraction form
    793.33/1,188.84 = 546.28/x
  3. Step 3: Cross multiply
    793.33x = 1,188.84 × 546.28
  4. Step 4: Simplify right side
    793.33x = 649,436.54
  5. Step 5: Solve for x
    x = 649,436.54/793.33
  6. Step 6: Final answer
    x = 818.62

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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.