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Finding the Fourth Proportional to 766.56, 1,149.84 and 694.56

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Solution

The fourth proportional to 766.56, 1,149.84 and 694.56 is: 1,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.56 : 1,149.84 = 694.56 : x
  2. Step 2: Convert to fraction form
    766.56/1,149.84 = 694.56/x
  3. Step 3: Cross multiply
    766.56x = 1,149.84 × 694.56
  4. Step 4: Simplify right side
    766.56x = 798,632.87
  5. Step 5: Solve for x
    x = 798,632.87/766.56
  6. Step 6: Final answer
    x = 1,041.84

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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.