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Finding the Fourth Proportional to 1,039.84, 1,548.68 and 1,027.36

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Solution

The fourth proportional to 1,039.84, 1,548.68 and 1,027.36 is: 1,530.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.84 : 1,548.68 = 1,027.36 : x
  2. Step 2: Convert to fraction form
    1,039.84/1,548.68 = 1,027.36/x
  3. Step 3: Cross multiply
    1,039.84x = 1,548.68 × 1,027.36
  4. Step 4: Simplify right side
    1,039.84x = 1,591,051.88
  5. Step 5: Solve for x
    x = 1,591,051.88/1,039.84
  6. Step 6: Final answer
    x = 1,530.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.