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Finding the Fourth Proportional to 1,104.62, 1,516.61 and 1,076.06

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Solution

The fourth proportional to 1,104.62, 1,516.61 and 1,076.06 is: 1,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.62 : 1,516.61 = 1,076.06 : x
  2. Step 2: Convert to fraction form
    1,104.62/1,516.61 = 1,076.06/x
  3. Step 3: Cross multiply
    1,104.62x = 1,516.61 × 1,076.06
  4. Step 4: Simplify right side
    1,104.62x = 1,631,969.84
  5. Step 5: Solve for x
    x = 1,631,969.84/1,104.62
  6. Step 6: Final answer
    x = 1,477.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.