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Finding the Fourth Proportional to 775.74, 1,163.64 and 313.52

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Solution

The fourth proportional to 775.74, 1,163.64 and 313.52 is: 470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.74 : 1,163.64 = 313.52 : x
  2. Step 2: Convert to fraction form
    775.74/1,163.64 = 313.52/x
  3. Step 3: Cross multiply
    775.74x = 1,163.64 × 313.52
  4. Step 4: Simplify right side
    775.74x = 364,818.59
  5. Step 5: Solve for x
    x = 364,818.59/775.74
  6. Step 6: Final answer
    x = 470.28

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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.