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Finding the Fourth Proportional to 1,797.80, 2,696.70 and 499.27

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Solution

The fourth proportional to 1,797.80, 2,696.70 and 499.27 is: 748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.80 : 2,696.70 = 499.27 : x
  2. Step 2: Convert to fraction form
    1,797.80/2,696.70 = 499.27/x
  3. Step 3: Cross multiply
    1,797.80x = 2,696.70 × 499.27
  4. Step 4: Simplify right side
    1,797.80x = 1,346,365.43
  5. Step 5: Solve for x
    x = 1,346,365.43/1,797.80
  6. Step 6: Final answer
    x = 748.90

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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.