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Finding the Fourth Proportional to 1,350.49, 2,025.83 and 376.66

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Solution

The fourth proportional to 1,350.49, 2,025.83 and 376.66 is: 565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.49 : 2,025.83 = 376.66 : x
  2. Step 2: Convert to fraction form
    1,350.49/2,025.83 = 376.66/x
  3. Step 3: Cross multiply
    1,350.49x = 2,025.83 × 376.66
  4. Step 4: Simplify right side
    1,350.49x = 763,049.13
  5. Step 5: Solve for x
    x = 763,049.13/1,350.49
  6. Step 6: Final answer
    x = 565.02

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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.