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Finding the Fourth Proportional to 1,208.36, 1,665.60 and 986.92

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Solution

The fourth proportional to 1,208.36, 1,665.60 and 986.92 is: 1,360.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.36 : 1,665.60 = 986.92 : x
  2. Step 2: Convert to fraction form
    1,208.36/1,665.60 = 986.92/x
  3. Step 3: Cross multiply
    1,208.36x = 1,665.60 × 986.92
  4. Step 4: Simplify right side
    1,208.36x = 1,643,813.95
  5. Step 5: Solve for x
    x = 1,643,813.95/1,208.36
  6. Step 6: Final answer
    x = 1,360.37

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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.