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Finding the Fourth Proportional to 986.10, 1,479.42 and 438.45

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Solution

The fourth proportional to 986.10, 1,479.42 and 438.45 is: 657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.10 : 1,479.42 = 438.45 : x
  2. Step 2: Convert to fraction form
    986.10/1,479.42 = 438.45/x
  3. Step 3: Cross multiply
    986.10x = 1,479.42 × 438.45
  4. Step 4: Simplify right side
    986.10x = 648,651.70
  5. Step 5: Solve for x
    x = 648,651.70/986.10
  6. Step 6: Final answer
    x = 657.80

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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.