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Finding the Fourth Proportional to 1,295.11, 1,942.97 and 370.64

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Solution

The fourth proportional to 1,295.11, 1,942.97 and 370.64 is: 556.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.11 : 1,942.97 = 370.64 : x
  2. Step 2: Convert to fraction form
    1,295.11/1,942.97 = 370.64/x
  3. Step 3: Cross multiply
    1,295.11x = 1,942.97 × 370.64
  4. Step 4: Simplify right side
    1,295.11x = 720,138.12
  5. Step 5: Solve for x
    x = 720,138.12/1,295.11
  6. Step 6: Final answer
    x = 556.05

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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.