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Finding the Fourth Proportional to 1,209.73, 1,813.43 and 769.61

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Solution

The fourth proportional to 1,209.73, 1,813.43 and 769.61 is: 1,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.73 : 1,813.43 = 769.61 : x
  2. Step 2: Convert to fraction form
    1,209.73/1,813.43 = 769.61/x
  3. Step 3: Cross multiply
    1,209.73x = 1,813.43 × 769.61
  4. Step 4: Simplify right side
    1,209.73x = 1,395,633.86
  5. Step 5: Solve for x
    x = 1,395,633.86/1,209.73
  6. Step 6: Final answer
    x = 1,153.67

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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.