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Finding the Fourth Proportional to 1,350.50, 2,025.66 and 376.61

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Solution

The fourth proportional to 1,350.50, 2,025.66 and 376.61 is: 564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.50 : 2,025.66 = 376.61 : x
  2. Step 2: Convert to fraction form
    1,350.50/2,025.66 = 376.61/x
  3. Step 3: Cross multiply
    1,350.50x = 2,025.66 × 376.61
  4. Step 4: Simplify right side
    1,350.50x = 762,883.81
  5. Step 5: Solve for x
    x = 762,883.81/1,350.50
  6. Step 6: Final answer
    x = 564.89

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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.