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Finding the Fourth Proportional to 775.90, 1,163.08 and 313.60

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Solution

The fourth proportional to 775.90, 1,163.08 and 313.60 is: 470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.90 : 1,163.08 = 313.60 : x
  2. Step 2: Convert to fraction form
    775.90/1,163.08 = 313.60/x
  3. Step 3: Cross multiply
    775.90x = 1,163.08 × 313.60
  4. Step 4: Simplify right side
    775.90x = 364,741.89
  5. Step 5: Solve for x
    x = 364,741.89/775.90
  6. Step 6: Final answer
    x = 470.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.