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Finding the Fourth Proportional to 800.64, 1,201.27 and 280.70

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Solution

The fourth proportional to 800.64, 1,201.27 and 280.70 is: 421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.64 : 1,201.27 = 280.70 : x
  2. Step 2: Convert to fraction form
    800.64/1,201.27 = 280.70/x
  3. Step 3: Cross multiply
    800.64x = 1,201.27 × 280.70
  4. Step 4: Simplify right side
    800.64x = 337,189.78
  5. Step 5: Solve for x
    x = 337,189.78/800.64
  6. Step 6: Final answer
    x = 421.15

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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.