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Finding the Fourth Proportional to 986.53, 1,479.92 and 293.22

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Solution

The fourth proportional to 986.53, 1,479.92 and 293.22 is: 439.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.53 : 1,479.92 = 293.22 : x
  2. Step 2: Convert to fraction form
    986.53/1,479.92 = 293.22/x
  3. Step 3: Cross multiply
    986.53x = 1,479.92 × 293.22
  4. Step 4: Simplify right side
    986.53x = 433,942.33
  5. Step 5: Solve for x
    x = 433,942.33/986.53
  6. Step 6: Final answer
    x = 439.87

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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.