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Finding the Fourth Proportional to 1,370.55, 2,055.78 and 548.61

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Solution

The fourth proportional to 1,370.55, 2,055.78 and 548.61 is: 822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.55 : 2,055.78 = 548.61 : x
  2. Step 2: Convert to fraction form
    1,370.55/2,055.78 = 548.61/x
  3. Step 3: Cross multiply
    1,370.55x = 2,055.78 × 548.61
  4. Step 4: Simplify right side
    1,370.55x = 1,127,821.47
  5. Step 5: Solve for x
    x = 1,127,821.47/1,370.55
  6. Step 6: Final answer
    x = 822.90

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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.