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Finding the Fourth Proportional to 776.31, 1,163.44 and 468.27

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Solution

The fourth proportional to 776.31, 1,163.44 and 468.27 is: 701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.31 : 1,163.44 = 468.27 : x
  2. Step 2: Convert to fraction form
    776.31/1,163.44 = 468.27/x
  3. Step 3: Cross multiply
    776.31x = 1,163.44 × 468.27
  4. Step 4: Simplify right side
    776.31x = 544,804.05
  5. Step 5: Solve for x
    x = 544,804.05/776.31
  6. Step 6: Final answer
    x = 701.79

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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.