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Finding the Fourth Proportional to 928.78, 1,396.06 and 584.33

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Solution

The fourth proportional to 928.78, 1,396.06 and 584.33 is: 878.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.78 : 1,396.06 = 584.33 : x
  2. Step 2: Convert to fraction form
    928.78/1,396.06 = 584.33/x
  3. Step 3: Cross multiply
    928.78x = 1,396.06 × 584.33
  4. Step 4: Simplify right side
    928.78x = 815,760.79
  5. Step 5: Solve for x
    x = 815,760.79/928.78
  6. Step 6: Final answer
    x = 878.31

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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.