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Finding the Fourth Proportional to 1,369.96, 2,054.49 and 548.02

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Solution

The fourth proportional to 1,369.96, 2,054.49 and 548.02 is: 821.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,369.96 : 2,054.49 = 548.02 : x
  2. Step 2: Convert to fraction form
    1,369.96/2,054.49 = 548.02/x
  3. Step 3: Cross multiply
    1,369.96x = 2,054.49 × 548.02
  4. Step 4: Simplify right side
    1,369.96x = 1,125,901.61
  5. Step 5: Solve for x
    x = 1,125,901.61/1,369.96
  6. Step 6: Final answer
    x = 821.85

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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.