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Finding the Fourth Proportional to 986.80, 1,480.04 and 409.52

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Solution

The fourth proportional to 986.80, 1,480.04 and 409.52 is: 614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.80 : 1,480.04 = 409.52 : x
  2. Step 2: Convert to fraction form
    986.80/1,480.04 = 409.52/x
  3. Step 3: Cross multiply
    986.80x = 1,480.04 × 409.52
  4. Step 4: Simplify right side
    986.80x = 606,105.98
  5. Step 5: Solve for x
    x = 606,105.98/986.80
  6. Step 6: Final answer
    x = 614.21

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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.