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Finding the Fourth Proportional to 986.56, 1,480.50 and 409.44

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Solution

The fourth proportional to 986.56, 1,480.50 and 409.44 is: 614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.56 : 1,480.50 = 409.44 : x
  2. Step 2: Convert to fraction form
    986.56/1,480.50 = 409.44/x
  3. Step 3: Cross multiply
    986.56x = 1,480.50 × 409.44
  4. Step 4: Simplify right side
    986.56x = 606,175.92
  5. Step 5: Solve for x
    x = 606,175.92/986.56
  6. Step 6: Final answer
    x = 614.43

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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.