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Finding the Fourth Proportional to 775.60, 1,163.13 and 313.24

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Solution

The fourth proportional to 775.60, 1,163.13 and 313.24 is: 469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.60 : 1,163.13 = 313.24 : x
  2. Step 2: Convert to fraction form
    775.60/1,163.13 = 313.24/x
  3. Step 3: Cross multiply
    775.60x = 1,163.13 × 313.24
  4. Step 4: Simplify right side
    775.60x = 364,338.84
  5. Step 5: Solve for x
    x = 364,338.84/775.60
  6. Step 6: Final answer
    x = 469.75

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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.