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Finding the Fourth Proportional to 1,194.69, 1,644.66 and 1,027.98

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Solution

The fourth proportional to 1,194.69, 1,644.66 and 1,027.98 is: 1,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.69 : 1,644.66 = 1,027.98 : x
  2. Step 2: Convert to fraction form
    1,194.69/1,644.66 = 1,027.98/x
  3. Step 3: Cross multiply
    1,194.69x = 1,644.66 × 1,027.98
  4. Step 4: Simplify right side
    1,194.69x = 1,690,677.59
  5. Step 5: Solve for x
    x = 1,690,677.59/1,194.69
  6. Step 6: Final answer
    x = 1,415.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.