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Finding the Fourth Proportional to 1,789.56, 2,683.83 and 556.86

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Solution

The fourth proportional to 1,789.56, 2,683.83 and 556.86 is: 835.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.56 : 2,683.83 = 556.86 : x
  2. Step 2: Convert to fraction form
    1,789.56/2,683.83 = 556.86/x
  3. Step 3: Cross multiply
    1,789.56x = 2,683.83 × 556.86
  4. Step 4: Simplify right side
    1,789.56x = 1,494,517.57
  5. Step 5: Solve for x
    x = 1,494,517.57/1,789.56
  6. Step 6: Final answer
    x = 835.13

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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.