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Finding the Fourth Proportional to 633.56, 949.26 and 511.88

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Solution

The fourth proportional to 633.56, 949.26 and 511.88 is: 766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.56 : 949.26 = 511.88 : x
  2. Step 2: Convert to fraction form
    633.56/949.26 = 511.88/x
  3. Step 3: Cross multiply
    633.56x = 949.26 × 511.88
  4. Step 4: Simplify right side
    633.56x = 485,907.21
  5. Step 5: Solve for x
    x = 485,907.21/633.56
  6. Step 6: Final answer
    x = 766.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.