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Finding the Fourth Proportional to 986.12, 1,479.24 and 255.71

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Solution

The fourth proportional to 986.12, 1,479.24 and 255.71 is: 383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.12 : 1,479.24 = 255.71 : x
  2. Step 2: Convert to fraction form
    986.12/1,479.24 = 255.71/x
  3. Step 3: Cross multiply
    986.12x = 1,479.24 × 255.71
  4. Step 4: Simplify right side
    986.12x = 378,256.46
  5. Step 5: Solve for x
    x = 378,256.46/986.12
  6. Step 6: Final answer
    x = 383.58

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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.