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Finding the Fourth Proportional to 1,647.03, 2,469.75 and 769.34

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Solution

The fourth proportional to 1,647.03, 2,469.75 and 769.34 is: 1,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.03 : 2,469.75 = 769.34 : x
  2. Step 2: Convert to fraction form
    1,647.03/2,469.75 = 769.34/x
  3. Step 3: Cross multiply
    1,647.03x = 2,469.75 × 769.34
  4. Step 4: Simplify right side
    1,647.03x = 1,900,065.12
  5. Step 5: Solve for x
    x = 1,900,065.12/1,647.03
  6. Step 6: Final answer
    x = 1,153.63

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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.