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Finding the Fourth Proportional to 986.52, 1,480.14 and 409.08

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Solution

The fourth proportional to 986.52, 1,480.14 and 409.08 is: 613.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.52 : 1,480.14 = 409.08 : x
  2. Step 2: Convert to fraction form
    986.52/1,480.14 = 409.08/x
  3. Step 3: Cross multiply
    986.52x = 1,480.14 × 409.08
  4. Step 4: Simplify right side
    986.52x = 605,495.67
  5. Step 5: Solve for x
    x = 605,495.67/986.52
  6. Step 6: Final answer
    x = 613.77

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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.