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Finding the Fourth Proportional to 1,264.80, 1,745.61 and 767.73

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Solution

The fourth proportional to 1,264.80, 1,745.61 and 767.73 is: 1,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.80 : 1,745.61 = 767.73 : x
  2. Step 2: Convert to fraction form
    1,264.80/1,745.61 = 767.73/x
  3. Step 3: Cross multiply
    1,264.80x = 1,745.61 × 767.73
  4. Step 4: Simplify right side
    1,264.80x = 1,340,157.17
  5. Step 5: Solve for x
    x = 1,340,157.17/1,264.80
  6. Step 6: Final answer
    x = 1,059.58

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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.