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Finding the Fourth Proportional to 986.88, 1,480.46 and 439.05

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Solution

The fourth proportional to 986.88, 1,480.46 and 439.05 is: 658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.88 : 1,480.46 = 439.05 : x
  2. Step 2: Convert to fraction form
    986.88/1,480.46 = 439.05/x
  3. Step 3: Cross multiply
    986.88x = 1,480.46 × 439.05
  4. Step 4: Simplify right side
    986.88x = 649,995.96
  5. Step 5: Solve for x
    x = 649,995.96/986.88
  6. Step 6: Final answer
    x = 658.64

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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.