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Finding the Fourth Proportional to 775.21, 1,161.90 and 312.37

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Solution

The fourth proportional to 775.21, 1,161.90 and 312.37 is: 468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.21 : 1,161.90 = 312.37 : x
  2. Step 2: Convert to fraction form
    775.21/1,161.90 = 312.37/x
  3. Step 3: Cross multiply
    775.21x = 1,161.90 × 312.37
  4. Step 4: Simplify right side
    775.21x = 362,943.48
  5. Step 5: Solve for x
    x = 362,943.48/775.21
  6. Step 6: Final answer
    x = 468.19

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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.