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Finding the Fourth Proportional to 1,367.22, 1,886.81 and 769.80

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Solution

The fourth proportional to 1,367.22, 1,886.81 and 769.80 is: 1,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.22 : 1,886.81 = 769.80 : x
  2. Step 2: Convert to fraction form
    1,367.22/1,886.81 = 769.80/x
  3. Step 3: Cross multiply
    1,367.22x = 1,886.81 × 769.80
  4. Step 4: Simplify right side
    1,367.22x = 1,452,462.49
  5. Step 5: Solve for x
    x = 1,452,462.49/1,367.22
  6. Step 6: Final answer
    x = 1,062.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.