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Finding the Fourth Proportional to 800.54, 1,200.96 and 313.56

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Solution

The fourth proportional to 800.54, 1,200.96 and 313.56 is: 470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.54 : 1,200.96 = 313.56 : x
  2. Step 2: Convert to fraction form
    800.54/1,200.96 = 313.56/x
  3. Step 3: Cross multiply
    800.54x = 1,200.96 × 313.56
  4. Step 4: Simplify right side
    800.54x = 376,573.02
  5. Step 5: Solve for x
    x = 376,573.02/800.54
  6. Step 6: Final answer
    x = 470.40

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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.