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Finding the Fourth Proportional to 986.08, 1,478.52 and 408.88

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Solution

The fourth proportional to 986.08, 1,478.52 and 408.88 is: 613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.08 : 1,478.52 = 408.88 : x
  2. Step 2: Convert to fraction form
    986.08/1,478.52 = 408.88/x
  3. Step 3: Cross multiply
    986.08x = 1,478.52 × 408.88
  4. Step 4: Simplify right side
    986.08x = 604,537.26
  5. Step 5: Solve for x
    x = 604,537.26/986.08
  6. Step 6: Final answer
    x = 613.07

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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.