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Finding the Fourth Proportional to 1,367.99, 2,048.71 and 789.11

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Solution

The fourth proportional to 1,367.99, 2,048.71 and 789.11 is: 1,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.99 : 2,048.71 = 789.11 : x
  2. Step 2: Convert to fraction form
    1,367.99/2,048.71 = 789.11/x
  3. Step 3: Cross multiply
    1,367.99x = 2,048.71 × 789.11
  4. Step 4: Simplify right side
    1,367.99x = 1,616,645.33
  5. Step 5: Solve for x
    x = 1,616,645.33/1,367.99
  6. Step 6: Final answer
    x = 1,181.77

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1.5x scale

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.