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Finding the Fourth Proportional to 1,080.75, 1,621.41 and 387.57

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Solution

The fourth proportional to 1,080.75, 1,621.41 and 387.57 is: 581.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.75 : 1,621.41 = 387.57 : x
  2. Step 2: Convert to fraction form
    1,080.75/1,621.41 = 387.57/x
  3. Step 3: Cross multiply
    1,080.75x = 1,621.41 × 387.57
  4. Step 4: Simplify right side
    1,080.75x = 628,409.87
  5. Step 5: Solve for x
    x = 628,409.87/1,080.75
  6. Step 6: Final answer
    x = 581.46

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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.