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Finding the Fourth Proportional to 775.12, 1,163.14 and 312.94

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Solution

The fourth proportional to 775.12, 1,163.14 and 312.94 is: 469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.12 : 1,163.14 = 312.94 : x
  2. Step 2: Convert to fraction form
    775.12/1,163.14 = 312.94/x
  3. Step 3: Cross multiply
    775.12x = 1,163.14 × 312.94
  4. Step 4: Simplify right side
    775.12x = 363,993.03
  5. Step 5: Solve for x
    x = 363,993.03/775.12
  6. Step 6: Final answer
    x = 469.60

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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.