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Finding the Fourth Proportional to 1,028.21, 1,419.07 and 608.53

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Solution

The fourth proportional to 1,028.21, 1,419.07 and 608.53 is: 839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.21 : 1,419.07 = 608.53 : x
  2. Step 2: Convert to fraction form
    1,028.21/1,419.07 = 608.53/x
  3. Step 3: Cross multiply
    1,028.21x = 1,419.07 × 608.53
  4. Step 4: Simplify right side
    1,028.21x = 863,546.67
  5. Step 5: Solve for x
    x = 863,546.67/1,028.21
  6. Step 6: Final answer
    x = 839.85

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Why These Related Problems?

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