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Finding the Fourth Proportional to 826.77, 1,238.94 and 780.60

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Solution

The fourth proportional to 826.77, 1,238.94 and 780.60 is: 1,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.77 : 1,238.94 = 780.60 : x
  2. Step 2: Convert to fraction form
    826.77/1,238.94 = 780.60/x
  3. Step 3: Cross multiply
    826.77x = 1,238.94 × 780.60
  4. Step 4: Simplify right side
    826.77x = 967,116.56
  5. Step 5: Solve for x
    x = 967,116.56/826.77
  6. Step 6: Final answer
    x = 1,169.75

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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.