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Finding the Fourth Proportional to 1,163.54, 1,745.86 and 514.20

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Solution

The fourth proportional to 1,163.54, 1,745.86 and 514.20 is: 771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.54 : 1,745.86 = 514.20 : x
  2. Step 2: Convert to fraction form
    1,163.54/1,745.86 = 514.20/x
  3. Step 3: Cross multiply
    1,163.54x = 1,745.86 × 514.20
  4. Step 4: Simplify right side
    1,163.54x = 897,721.21
  5. Step 5: Solve for x
    x = 897,721.21/1,163.54
  6. Step 6: Final answer
    x = 771.54

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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.