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Finding the Fourth Proportional to 804.87, 1,205.75 and 776.52

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Solution

The fourth proportional to 804.87, 1,205.75 and 776.52 is: 1,163.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.87 : 1,205.75 = 776.52 : x
  2. Step 2: Convert to fraction form
    804.87/1,205.75 = 776.52/x
  3. Step 3: Cross multiply
    804.87x = 1,205.75 × 776.52
  4. Step 4: Simplify right side
    804.87x = 936,290.93
  5. Step 5: Solve for x
    x = 936,290.93/804.87
  6. Step 6: Final answer
    x = 1,163.28

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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.