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Finding the Fourth Proportional to 928.36, 1,397.77 and 819.37

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Solution

The fourth proportional to 928.36, 1,397.77 and 819.37 is: 1,233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.36 : 1,397.77 = 819.37 : x
  2. Step 2: Convert to fraction form
    928.36/1,397.77 = 819.37/x
  3. Step 3: Cross multiply
    928.36x = 1,397.77 × 819.37
  4. Step 4: Simplify right side
    928.36x = 1,145,290.80
  5. Step 5: Solve for x
    x = 1,145,290.80/928.36
  6. Step 6: Final answer
    x = 1,233.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.