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Finding the Fourth Proportional to 800.49, 1,200.93 and 313.56

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Solution

The fourth proportional to 800.49, 1,200.93 and 313.56 is: 470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.49 : 1,200.93 = 313.56 : x
  2. Step 2: Convert to fraction form
    800.49/1,200.93 = 313.56/x
  3. Step 3: Cross multiply
    800.49x = 1,200.93 × 313.56
  4. Step 4: Simplify right side
    800.49x = 376,563.61
  5. Step 5: Solve for x
    x = 376,563.61/800.49
  6. Step 6: Final answer
    x = 470.42

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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.