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Finding the Fourth Proportional to 1,163.01, 1,745.07 and 513.66

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Solution

The fourth proportional to 1,163.01, 1,745.07 and 513.66 is: 770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.01 : 1,745.07 = 513.66 : x
  2. Step 2: Convert to fraction form
    1,163.01/1,745.07 = 513.66/x
  3. Step 3: Cross multiply
    1,163.01x = 1,745.07 × 513.66
  4. Step 4: Simplify right side
    1,163.01x = 896,372.66
  5. Step 5: Solve for x
    x = 896,372.66/1,163.01
  6. Step 6: Final answer
    x = 770.74

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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.