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Finding the Fourth Proportional to 1,295.14, 1,942.76 and 370.83

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Solution

The fourth proportional to 1,295.14, 1,942.76 and 370.83 is: 556.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.14 : 1,942.76 = 370.83 : x
  2. Step 2: Convert to fraction form
    1,295.14/1,942.76 = 370.83/x
  3. Step 3: Cross multiply
    1,295.14x = 1,942.76 × 370.83
  4. Step 4: Simplify right side
    1,295.14x = 720,433.69
  5. Step 5: Solve for x
    x = 720,433.69/1,295.14
  6. Step 6: Final answer
    x = 556.26

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