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Finding the Fourth Proportional to 775.88, 1,163.35 and 282.05

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Solution

The fourth proportional to 775.88, 1,163.35 and 282.05 is: 422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.88 : 1,163.35 = 282.05 : x
  2. Step 2: Convert to fraction form
    775.88/1,163.35 = 282.05/x
  3. Step 3: Cross multiply
    775.88x = 1,163.35 × 282.05
  4. Step 4: Simplify right side
    775.88x = 328,122.87
  5. Step 5: Solve for x
    x = 328,122.87/775.88
  6. Step 6: Final answer
    x = 422.90

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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.