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Finding the Fourth Proportional to 1,310.36, 1,963.02 and 733.64

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Solution

The fourth proportional to 1,310.36, 1,963.02 and 733.64 is: 1,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.36 : 1,963.02 = 733.64 : x
  2. Step 2: Convert to fraction form
    1,310.36/1,963.02 = 733.64/x
  3. Step 3: Cross multiply
    1,310.36x = 1,963.02 × 733.64
  4. Step 4: Simplify right side
    1,310.36x = 1,440,149.99
  5. Step 5: Solve for x
    x = 1,440,149.99/1,310.36
  6. Step 6: Final answer
    x = 1,099.05

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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.