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Finding the Fourth Proportional to 1,295.69, 1,942.96 and 371.03

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Solution

The fourth proportional to 1,295.69, 1,942.96 and 371.03 is: 556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.69 : 1,942.96 = 371.03 : x
  2. Step 2: Convert to fraction form
    1,295.69/1,942.96 = 371.03/x
  3. Step 3: Cross multiply
    1,295.69x = 1,942.96 × 371.03
  4. Step 4: Simplify right side
    1,295.69x = 720,899.68
  5. Step 5: Solve for x
    x = 720,899.68/1,295.69
  6. Step 6: Final answer
    x = 556.38

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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.