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Finding the Fourth Proportional to 800.79, 1,201.48 and 280.83

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Solution

The fourth proportional to 800.79, 1,201.48 and 280.83 is: 421.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.79 : 1,201.48 = 280.83 : x
  2. Step 2: Convert to fraction form
    800.79/1,201.48 = 280.83/x
  3. Step 3: Cross multiply
    800.79x = 1,201.48 × 280.83
  4. Step 4: Simplify right side
    800.79x = 337,411.63
  5. Step 5: Solve for x
    x = 337,411.63/800.79
  6. Step 6: Final answer
    x = 421.35

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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.