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Finding the Fourth Proportional to 1,028.82, 1,419.90 and 675.04

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Solution

The fourth proportional to 1,028.82, 1,419.90 and 675.04 is: 931.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.82 : 1,419.90 = 675.04 : x
  2. Step 2: Convert to fraction form
    1,028.82/1,419.90 = 675.04/x
  3. Step 3: Cross multiply
    1,028.82x = 1,419.90 × 675.04
  4. Step 4: Simplify right side
    1,028.82x = 958,493.60
  5. Step 5: Solve for x
    x = 958,493.60/1,028.82
  6. Step 6: Final answer
    x = 931.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.