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Finding the Fourth Proportional to 850.28, 1,271.96 and 733

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Solution

The fourth proportional to 850.28, 1,271.96 and 733 is: 1,096.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.28 : 1,271.96 = 733 : x
  2. Step 2: Convert to fraction form
    850.28/1,271.96 = 733/x
  3. Step 3: Cross multiply
    850.28x = 1,271.96 × 733
  4. Step 4: Simplify right side
    850.28x = 932,346.68
  5. Step 5: Solve for x
    x = 932,346.68/850.28
  6. Step 6: Final answer
    x = 1,096.52

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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.