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Finding the Fourth Proportional to 1,074.54, 1,608.57 and 786.18

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Solution

The fourth proportional to 1,074.54, 1,608.57 and 786.18 is: 1,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.54 : 1,608.57 = 786.18 : x
  2. Step 2: Convert to fraction form
    1,074.54/1,608.57 = 786.18/x
  3. Step 3: Cross multiply
    1,074.54x = 1,608.57 × 786.18
  4. Step 4: Simplify right side
    1,074.54x = 1,264,625.56
  5. Step 5: Solve for x
    x = 1,264,625.56/1,074.54
  6. Step 6: Final answer
    x = 1,176.90

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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.