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Finding the Fourth Proportional to 986.94, 1,481.08 and 409.81

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Solution

The fourth proportional to 986.94, 1,481.08 and 409.81 is: 614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.94 : 1,481.08 = 409.81 : x
  2. Step 2: Convert to fraction form
    986.94/1,481.08 = 409.81/x
  3. Step 3: Cross multiply
    986.94x = 1,481.08 × 409.81
  4. Step 4: Simplify right side
    986.94x = 606,961.39
  5. Step 5: Solve for x
    x = 606,961.39/986.94
  6. Step 6: Final answer
    x = 614.99

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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.