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Finding the Fourth Proportional to 1,647.54, 2,469.83 and 769.70

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Solution

The fourth proportional to 1,647.54, 2,469.83 and 769.70 is: 1,153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.54 : 2,469.83 = 769.70 : x
  2. Step 2: Convert to fraction form
    1,647.54/2,469.83 = 769.70/x
  3. Step 3: Cross multiply
    1,647.54x = 2,469.83 × 769.70
  4. Step 4: Simplify right side
    1,647.54x = 1,901,030.48
  5. Step 5: Solve for x
    x = 1,901,030.48/1,647.54
  6. Step 6: Final answer
    x = 1,153.86

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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.