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Finding the Fourth Proportional to 800.10, 1,200.24 and 313.80

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Solution

The fourth proportional to 800.10, 1,200.24 and 313.80 is: 470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.10 : 1,200.24 = 313.80 : x
  2. Step 2: Convert to fraction form
    800.10/1,200.24 = 313.80/x
  3. Step 3: Cross multiply
    800.10x = 1,200.24 × 313.80
  4. Step 4: Simplify right side
    800.10x = 376,635.31
  5. Step 5: Solve for x
    x = 376,635.31/800.10
  6. Step 6: Final answer
    x = 470.74

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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.