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Finding the Fourth Proportional to 806.45, 1,203.44 and 800.37

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Solution

The fourth proportional to 806.45, 1,203.44 and 800.37 is: 1,194.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.45 : 1,203.44 = 800.37 : x
  2. Step 2: Convert to fraction form
    806.45/1,203.44 = 800.37/x
  3. Step 3: Cross multiply
    806.45x = 1,203.44 × 800.37
  4. Step 4: Simplify right side
    806.45x = 963,199.27
  5. Step 5: Solve for x
    x = 963,199.27/806.45
  6. Step 6: Final answer
    x = 1,194.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.