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Finding the Fourth Proportional to 766.45, 1,149.74 and 211.16

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Solution

The fourth proportional to 766.45, 1,149.74 and 211.16 is: 316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.45 : 1,149.74 = 211.16 : x
  2. Step 2: Convert to fraction form
    766.45/1,149.74 = 211.16/x
  3. Step 3: Cross multiply
    766.45x = 1,149.74 × 211.16
  4. Step 4: Simplify right side
    766.45x = 242,779.10
  5. Step 5: Solve for x
    x = 242,779.10/766.45
  6. Step 6: Final answer
    x = 316.76

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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.