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Finding the Fourth Proportional to 800.69, 1,200.84 and 280.71

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Solution

The fourth proportional to 800.69, 1,200.84 and 280.71 is: 421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.69 : 1,200.84 = 280.71 : x
  2. Step 2: Convert to fraction form
    800.69/1,200.84 = 280.71/x
  3. Step 3: Cross multiply
    800.69x = 1,200.84 × 280.71
  4. Step 4: Simplify right side
    800.69x = 337,086.74
  5. Step 5: Solve for x
    x = 337,086.74/800.69
  6. Step 6: Final answer
    x = 421.00

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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.