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Finding the Fourth Proportional to 800.76, 1,201.14 and 223.64

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Solution

The fourth proportional to 800.76, 1,201.14 and 223.64 is: 335.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.76 : 1,201.14 = 223.64 : x
  2. Step 2: Convert to fraction form
    800.76/1,201.14 = 223.64/x
  3. Step 3: Cross multiply
    800.76x = 1,201.14 × 223.64
  4. Step 4: Simplify right side
    800.76x = 268,622.95
  5. Step 5: Solve for x
    x = 268,622.95/800.76
  6. Step 6: Final answer
    x = 335.46

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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.