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Finding the Fourth Proportional to 1,370.23, 2,054.87 and 548.29

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Solution

The fourth proportional to 1,370.23, 2,054.87 and 548.29 is: 822.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.23 : 2,054.87 = 548.29 : x
  2. Step 2: Convert to fraction form
    1,370.23/2,054.87 = 548.29/x
  3. Step 3: Cross multiply
    1,370.23x = 2,054.87 × 548.29
  4. Step 4: Simplify right side
    1,370.23x = 1,126,651.66
  5. Step 5: Solve for x
    x = 1,126,651.66/1,370.23
  6. Step 6: Final answer
    x = 822.24

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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.