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Finding the Fourth Proportional to 1,299.73, 1,952.67 and 838.41

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Solution

The fourth proportional to 1,299.73, 1,952.67 and 838.41 is: 1,259.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.73 : 1,952.67 = 838.41 : x
  2. Step 2: Convert to fraction form
    1,299.73/1,952.67 = 838.41/x
  3. Step 3: Cross multiply
    1,299.73x = 1,952.67 × 838.41
  4. Step 4: Simplify right side
    1,299.73x = 1,637,138.05
  5. Step 5: Solve for x
    x = 1,637,138.05/1,299.73
  6. Step 6: Final answer
    x = 1,259.60

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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.