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Finding the Fourth Proportional to 986.43, 1,480.05 and 438.24

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Solution

The fourth proportional to 986.43, 1,480.05 and 438.24 is: 657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.43 : 1,480.05 = 438.24 : x
  2. Step 2: Convert to fraction form
    986.43/1,480.05 = 438.24/x
  3. Step 3: Cross multiply
    986.43x = 1,480.05 × 438.24
  4. Step 4: Simplify right side
    986.43x = 648,617.11
  5. Step 5: Solve for x
    x = 648,617.11/986.43
  6. Step 6: Final answer
    x = 657.54

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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.