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Finding the Fourth Proportional to 986.61, 1,480.08 and 438.80

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Solution

The fourth proportional to 986.61, 1,480.08 and 438.80 is: 658.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.61 : 1,480.08 = 438.80 : x
  2. Step 2: Convert to fraction form
    986.61/1,480.08 = 438.80/x
  3. Step 3: Cross multiply
    986.61x = 1,480.08 × 438.80
  4. Step 4: Simplify right side
    986.61x = 649,459.10
  5. Step 5: Solve for x
    x = 649,459.10/986.61
  6. Step 6: Final answer
    x = 658.27

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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.