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Finding the Fourth Proportional to 1,343.21, 1,853.96 and 950.36

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Solution

The fourth proportional to 1,343.21, 1,853.96 and 950.36 is: 1,311.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.21 : 1,853.96 = 950.36 : x
  2. Step 2: Convert to fraction form
    1,343.21/1,853.96 = 950.36/x
  3. Step 3: Cross multiply
    1,343.21x = 1,853.96 × 950.36
  4. Step 4: Simplify right side
    1,343.21x = 1,761,915.40
  5. Step 5: Solve for x
    x = 1,761,915.40/1,343.21
  6. Step 6: Final answer
    x = 1,311.72

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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.