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Finding the Fourth Proportional to 776.44, 1,163.76 and 640.08

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Solution

The fourth proportional to 776.44, 1,163.76 and 640.08 is: 959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.44 : 1,163.76 = 640.08 : x
  2. Step 2: Convert to fraction form
    776.44/1,163.76 = 640.08/x
  3. Step 3: Cross multiply
    776.44x = 1,163.76 × 640.08
  4. Step 4: Simplify right side
    776.44x = 744,899.50
  5. Step 5: Solve for x
    x = 744,899.50/776.44
  6. Step 6: Final answer
    x = 959.38

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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.