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Finding the Fourth Proportional to 986.43, 1,479.71 and 293.20

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Solution

The fourth proportional to 986.43, 1,479.71 and 293.20 is: 439.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.43 : 1,479.71 = 293.20 : x
  2. Step 2: Convert to fraction form
    986.43/1,479.71 = 293.20/x
  3. Step 3: Cross multiply
    986.43x = 1,479.71 × 293.20
  4. Step 4: Simplify right side
    986.43x = 433,850.97
  5. Step 5: Solve for x
    x = 433,850.97/986.43
  6. Step 6: Final answer
    x = 439.82

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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.