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Finding the Fourth Proportional to 1,415.30, 1,950.96 and 994.48

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Solution

The fourth proportional to 1,415.30, 1,950.96 and 994.48 is: 1,370.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.30 : 1,950.96 = 994.48 : x
  2. Step 2: Convert to fraction form
    1,415.30/1,950.96 = 994.48/x
  3. Step 3: Cross multiply
    1,415.30x = 1,950.96 × 994.48
  4. Step 4: Simplify right side
    1,415.30x = 1,940,190.70
  5. Step 5: Solve for x
    x = 1,940,190.70/1,415.30
  6. Step 6: Final answer
    x = 1,370.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.