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Finding the Fourth Proportional to 1,324.36, 1,982.49 and 835.93

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Solution

The fourth proportional to 1,324.36, 1,982.49 and 835.93 is: 1,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.36 : 1,982.49 = 835.93 : x
  2. Step 2: Convert to fraction form
    1,324.36/1,982.49 = 835.93/x
  3. Step 3: Cross multiply
    1,324.36x = 1,982.49 × 835.93
  4. Step 4: Simplify right side
    1,324.36x = 1,657,222.87
  5. Step 5: Solve for x
    x = 1,657,222.87/1,324.36
  6. Step 6: Final answer
    x = 1,251.34

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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.