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Finding the Fourth Proportional to 512.94, 770.28 and 489.84

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Solution

The fourth proportional to 512.94, 770.28 and 489.84 is: 735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 770.28 = 489.84 : x
  2. Step 2: Convert to fraction form
    512.94/770.28 = 489.84/x
  3. Step 3: Cross multiply
    512.94x = 770.28 × 489.84
  4. Step 4: Simplify right side
    512.94x = 377,313.96
  5. Step 5: Solve for x
    x = 377,313.96/512.94
  6. Step 6: Final answer
    x = 735.59

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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.