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Finding the Fourth Proportional to 1,370.44, 2,054.26 and 548.27

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Solution

The fourth proportional to 1,370.44, 2,054.26 and 548.27 is: 821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.44 : 2,054.26 = 548.27 : x
  2. Step 2: Convert to fraction form
    1,370.44/2,054.26 = 548.27/x
  3. Step 3: Cross multiply
    1,370.44x = 2,054.26 × 548.27
  4. Step 4: Simplify right side
    1,370.44x = 1,126,287.25
  5. Step 5: Solve for x
    x = 1,126,287.25/1,370.44
  6. Step 6: Final answer
    x = 821.84

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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.