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Finding the Fourth Proportional to 1,163.52, 1,745.38 and 514.70

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Solution

The fourth proportional to 1,163.52, 1,745.38 and 514.70 is: 772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.52 : 1,745.38 = 514.70 : x
  2. Step 2: Convert to fraction form
    1,163.52/1,745.38 = 514.70/x
  3. Step 3: Cross multiply
    1,163.52x = 1,745.38 × 514.70
  4. Step 4: Simplify right side
    1,163.52x = 898,347.09
  5. Step 5: Solve for x
    x = 898,347.09/1,163.52
  6. Step 6: Final answer
    x = 772.09

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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.