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Finding the Fourth Proportional to 1,111.07, 1,662.93 and 989.57

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Solution

The fourth proportional to 1,111.07, 1,662.93 and 989.57 is: 1,481.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.07 : 1,662.93 = 989.57 : x
  2. Step 2: Convert to fraction form
    1,111.07/1,662.93 = 989.57/x
  3. Step 3: Cross multiply
    1,111.07x = 1,662.93 × 989.57
  4. Step 4: Simplify right side
    1,111.07x = 1,645,585.64
  5. Step 5: Solve for x
    x = 1,645,585.64/1,111.07
  6. Step 6: Final answer
    x = 1,481.08

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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.