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Finding the Fourth Proportional to 800.63, 1,200.93 and 280.63

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Solution

The fourth proportional to 800.63, 1,200.93 and 280.63 is: 420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.63 : 1,200.93 = 280.63 : x
  2. Step 2: Convert to fraction form
    800.63/1,200.93 = 280.63/x
  3. Step 3: Cross multiply
    800.63x = 1,200.93 × 280.63
  4. Step 4: Simplify right side
    800.63x = 337,016.99
  5. Step 5: Solve for x
    x = 337,016.99/800.63
  6. Step 6: Final answer
    x = 420.94

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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.