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Finding the Fourth Proportional to 1,370.25, 2,055.06 and 548.31

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Solution

The fourth proportional to 1,370.25, 2,055.06 and 548.31 is: 822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.25 : 2,055.06 = 548.31 : x
  2. Step 2: Convert to fraction form
    1,370.25/2,055.06 = 548.31/x
  3. Step 3: Cross multiply
    1,370.25x = 2,055.06 × 548.31
  4. Step 4: Simplify right side
    1,370.25x = 1,126,796.93
  5. Step 5: Solve for x
    x = 1,126,796.93/1,370.25
  6. Step 6: Final answer
    x = 822.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.