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Finding the Fourth Proportional to 1,706.73, 2,558.57 and 828.69

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Solution

The fourth proportional to 1,706.73, 2,558.57 and 828.69 is: 1,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.73 : 2,558.57 = 828.69 : x
  2. Step 2: Convert to fraction form
    1,706.73/2,558.57 = 828.69/x
  3. Step 3: Cross multiply
    1,706.73x = 2,558.57 × 828.69
  4. Step 4: Simplify right side
    1,706.73x = 2,120,257.23
  5. Step 5: Solve for x
    x = 2,120,257.23/1,706.73
  6. Step 6: Final answer
    x = 1,242.29

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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.