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Finding the Fourth Proportional to 1,178.47, 1,759.09 and 1,092.81

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Solution

The fourth proportional to 1,178.47, 1,759.09 and 1,092.81 is: 1,631.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.47 : 1,759.09 = 1,092.81 : x
  2. Step 2: Convert to fraction form
    1,178.47/1,759.09 = 1,092.81/x
  3. Step 3: Cross multiply
    1,178.47x = 1,759.09 × 1,092.81
  4. Step 4: Simplify right side
    1,178.47x = 1,922,351.14
  5. Step 5: Solve for x
    x = 1,922,351.14/1,178.47
  6. Step 6: Final answer
    x = 1,631.23

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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.