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Finding the Fourth Proportional to 1,634.41, 2,450.98 and 709.80

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Solution

The fourth proportional to 1,634.41, 2,450.98 and 709.80 is: 1,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.41 : 2,450.98 = 709.80 : x
  2. Step 2: Convert to fraction form
    1,634.41/2,450.98 = 709.80/x
  3. Step 3: Cross multiply
    1,634.41x = 2,450.98 × 709.80
  4. Step 4: Simplify right side
    1,634.41x = 1,739,705.60
  5. Step 5: Solve for x
    x = 1,739,705.60/1,634.41
  6. Step 6: Final answer
    x = 1,064.42

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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.