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Finding the Fourth Proportional to 725.28, 1,087.94 and 313.84

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Solution

The fourth proportional to 725.28, 1,087.94 and 313.84 is: 470.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.28 : 1,087.94 = 313.84 : x
  2. Step 2: Convert to fraction form
    725.28/1,087.94 = 313.84/x
  3. Step 3: Cross multiply
    725.28x = 1,087.94 × 313.84
  4. Step 4: Simplify right side
    725.28x = 341,439.09
  5. Step 5: Solve for x
    x = 341,439.09/725.28
  6. Step 6: Final answer
    x = 470.77

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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.