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Finding the Fourth Proportional to 1,350.94, 2,025.99 and 377.12

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Solution

The fourth proportional to 1,350.94, 2,025.99 and 377.12 is: 565.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.94 : 2,025.99 = 377.12 : x
  2. Step 2: Convert to fraction form
    1,350.94/2,025.99 = 377.12/x
  3. Step 3: Cross multiply
    1,350.94x = 2,025.99 × 377.12
  4. Step 4: Simplify right side
    1,350.94x = 764,041.35
  5. Step 5: Solve for x
    x = 764,041.35/1,350.94
  6. Step 6: Final answer
    x = 565.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.