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Finding the Fourth Proportional to 800.75, 1,200.96 and 313.94

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Solution

The fourth proportional to 800.75, 1,200.96 and 313.94 is: 470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.75 : 1,200.96 = 313.94 : x
  2. Step 2: Convert to fraction form
    800.75/1,200.96 = 313.94/x
  3. Step 3: Cross multiply
    800.75x = 1,200.96 × 313.94
  4. Step 4: Simplify right side
    800.75x = 377,023.38
  5. Step 5: Solve for x
    x = 377,023.38/800.75
  6. Step 6: Final answer
    x = 470.84

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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.