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Finding the Fourth Proportional to 1,370.21, 2,054.49 and 548.87

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Solution

The fourth proportional to 1,370.21, 2,054.49 and 548.87 is: 822.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.21 : 2,054.49 = 548.87 : x
  2. Step 2: Convert to fraction form
    1,370.21/2,054.49 = 548.87/x
  3. Step 3: Cross multiply
    1,370.21x = 2,054.49 × 548.87
  4. Step 4: Simplify right side
    1,370.21x = 1,127,637.65
  5. Step 5: Solve for x
    x = 1,127,637.65/1,370.21
  6. Step 6: Final answer
    x = 822.97

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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.