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Finding the Fourth Proportional to 986.09, 1,360.26 and 649.80

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Solution

The fourth proportional to 986.09, 1,360.26 and 649.80 is: 896.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.09 : 1,360.26 = 649.80 : x
  2. Step 2: Convert to fraction form
    986.09/1,360.26 = 649.80/x
  3. Step 3: Cross multiply
    986.09x = 1,360.26 × 649.80
  4. Step 4: Simplify right side
    986.09x = 883,896.95
  5. Step 5: Solve for x
    x = 883,896.95/986.09
  6. Step 6: Final answer
    x = 896.37

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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.