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Finding the Fourth Proportional to 859.78, 1,289.72 and 210.52

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Solution

The fourth proportional to 859.78, 1,289.72 and 210.52 is: 315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.78 : 1,289.72 = 210.52 : x
  2. Step 2: Convert to fraction form
    859.78/1,289.72 = 210.52/x
  3. Step 3: Cross multiply
    859.78x = 1,289.72 × 210.52
  4. Step 4: Simplify right side
    859.78x = 271,511.85
  5. Step 5: Solve for x
    x = 271,511.85/859.78
  6. Step 6: Final answer
    x = 315.79

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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.