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Finding the Fourth Proportional to 986.12, 1,478.08 and 408.52

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Solution

The fourth proportional to 986.12, 1,478.08 and 408.52 is: 612.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.12 : 1,478.08 = 408.52 : x
  2. Step 2: Convert to fraction form
    986.12/1,478.08 = 408.52/x
  3. Step 3: Cross multiply
    986.12x = 1,478.08 × 408.52
  4. Step 4: Simplify right side
    986.12x = 603,825.24
  5. Step 5: Solve for x
    x = 603,825.24/986.12
  6. Step 6: Final answer
    x = 612.32

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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.