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Finding the Fourth Proportional to 1,289.75, 1,933.83 and 769.65

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Solution

The fourth proportional to 1,289.75, 1,933.83 and 769.65 is: 1,154.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.75 : 1,933.83 = 769.65 : x
  2. Step 2: Convert to fraction form
    1,289.75/1,933.83 = 769.65/x
  3. Step 3: Cross multiply
    1,289.75x = 1,933.83 × 769.65
  4. Step 4: Simplify right side
    1,289.75x = 1,488,372.26
  5. Step 5: Solve for x
    x = 1,488,372.26/1,289.75
  6. Step 6: Final answer
    x = 1,154.01

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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.