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Finding the Fourth Proportional to 1,797.88, 2,696.74 and 499.32

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Solution

The fourth proportional to 1,797.88, 2,696.74 and 499.32 is: 748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,797.88 : 2,696.74 = 499.32 : x
  2. Step 2: Convert to fraction form
    1,797.88/2,696.74 = 499.32/x
  3. Step 3: Cross multiply
    1,797.88x = 2,696.74 × 499.32
  4. Step 4: Simplify right side
    1,797.88x = 1,346,536.22
  5. Step 5: Solve for x
    x = 1,346,536.22/1,797.88
  6. Step 6: Final answer
    x = 748.96

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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.