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Finding the Fourth Proportional to 769.46, 1,159.33 and 696.41

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Solution

The fourth proportional to 769.46, 1,159.33 and 696.41 is: 1,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.46 : 1,159.33 = 696.41 : x
  2. Step 2: Convert to fraction form
    769.46/1,159.33 = 696.41/x
  3. Step 3: Cross multiply
    769.46x = 1,159.33 × 696.41
  4. Step 4: Simplify right side
    769.46x = 807,369.01
  5. Step 5: Solve for x
    x = 807,369.01/769.46
  6. Step 6: Final answer
    x = 1,049.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.