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Finding the Fourth Proportional to 1,169.73, 1,611.90 and 874.49

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Solution

The fourth proportional to 1,169.73, 1,611.90 and 874.49 is: 1,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.73 : 1,611.90 = 874.49 : x
  2. Step 2: Convert to fraction form
    1,169.73/1,611.90 = 874.49/x
  3. Step 3: Cross multiply
    1,169.73x = 1,611.90 × 874.49
  4. Step 4: Simplify right side
    1,169.73x = 1,409,582.37
  5. Step 5: Solve for x
    x = 1,409,582.37/1,169.73
  6. Step 6: Final answer
    x = 1,205.05

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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.