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Finding the Fourth Proportional to 1,028.14, 1,539.51 and 611.35

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Solution

The fourth proportional to 1,028.14, 1,539.51 and 611.35 is: 915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.14 : 1,539.51 = 611.35 : x
  2. Step 2: Convert to fraction form
    1,028.14/1,539.51 = 611.35/x
  3. Step 3: Cross multiply
    1,028.14x = 1,539.51 × 611.35
  4. Step 4: Simplify right side
    1,028.14x = 941,179.44
  5. Step 5: Solve for x
    x = 941,179.44/1,028.14
  6. Step 6: Final answer
    x = 915.42

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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.