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Finding the Fourth Proportional to 930.78, 1,396.17 and 859.74

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Solution

The fourth proportional to 930.78, 1,396.17 and 859.74 is: 1,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.78 : 1,396.17 = 859.74 : x
  2. Step 2: Convert to fraction form
    930.78/1,396.17 = 859.74/x
  3. Step 3: Cross multiply
    930.78x = 1,396.17 × 859.74
  4. Step 4: Simplify right side
    930.78x = 1,200,343.20
  5. Step 5: Solve for x
    x = 1,200,343.20/930.78
  6. Step 6: Final answer
    x = 1,289.61

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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.