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Finding the Fourth Proportional to 769.64, 1,061.86 and 489.80

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Solution

The fourth proportional to 769.64, 1,061.86 and 489.80 is: 675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.64 : 1,061.86 = 489.80 : x
  2. Step 2: Convert to fraction form
    769.64/1,061.86 = 489.80/x
  3. Step 3: Cross multiply
    769.64x = 1,061.86 × 489.80
  4. Step 4: Simplify right side
    769.64x = 520,099.03
  5. Step 5: Solve for x
    x = 520,099.03/769.64
  6. Step 6: Final answer
    x = 675.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.