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Finding the Fourth Proportional to 703.98, 1,055.46 and 270.78

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Solution

The fourth proportional to 703.98, 1,055.46 and 270.78 is: 405.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.98 : 1,055.46 = 270.78 : x
  2. Step 2: Convert to fraction form
    703.98/1,055.46 = 270.78/x
  3. Step 3: Cross multiply
    703.98x = 1,055.46 × 270.78
  4. Step 4: Simplify right side
    703.98x = 285,797.46
  5. Step 5: Solve for x
    x = 285,797.46/703.98
  6. Step 6: Final answer
    x = 405.97

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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.