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Finding the Fourth Proportional to 775.95, 1,163.97 and 313.72

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Solution

The fourth proportional to 775.95, 1,163.97 and 313.72 is: 470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.95 : 1,163.97 = 313.72 : x
  2. Step 2: Convert to fraction form
    775.95/1,163.97 = 313.72/x
  3. Step 3: Cross multiply
    775.95x = 1,163.97 × 313.72
  4. Step 4: Simplify right side
    775.95x = 365,156.94
  5. Step 5: Solve for x
    x = 365,156.94/775.95
  6. Step 6: Final answer
    x = 470.59

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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.