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Finding the Fourth Proportional to 986.69, 1,480.34 and 438.83

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Solution

The fourth proportional to 986.69, 1,480.34 and 438.83 is: 658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.69 : 1,480.34 = 438.83 : x
  2. Step 2: Convert to fraction form
    986.69/1,480.34 = 438.83/x
  3. Step 3: Cross multiply
    986.69x = 1,480.34 × 438.83
  4. Step 4: Simplify right side
    986.69x = 649,617.60
  5. Step 5: Solve for x
    x = 649,617.60/986.69
  6. Step 6: Final answer
    x = 658.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.