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Finding the Fourth Proportional to 928.25, 1,282.37 and 609.97

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Solution

The fourth proportional to 928.25, 1,282.37 and 609.97 is: 842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.25 : 1,282.37 = 609.97 : x
  2. Step 2: Convert to fraction form
    928.25/1,282.37 = 609.97/x
  3. Step 3: Cross multiply
    928.25x = 1,282.37 × 609.97
  4. Step 4: Simplify right side
    928.25x = 782,200.97
  5. Step 5: Solve for x
    x = 782,200.97/928.25
  6. Step 6: Final answer
    x = 842.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.