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Finding the Fourth Proportional to 1,635.13, 2,450.70 and 709.60

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Solution

The fourth proportional to 1,635.13, 2,450.70 and 709.60 is: 1,063.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.13 : 2,450.70 = 709.60 : x
  2. Step 2: Convert to fraction form
    1,635.13/2,450.70 = 709.60/x
  3. Step 3: Cross multiply
    1,635.13x = 2,450.70 × 709.60
  4. Step 4: Simplify right side
    1,635.13x = 1,739,016.72
  5. Step 5: Solve for x
    x = 1,739,016.72/1,635.13
  6. Step 6: Final answer
    x = 1,063.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.