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Finding the Fourth Proportional to 1,028.31, 1,539.09 and 929.85

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Solution

The fourth proportional to 1,028.31, 1,539.09 and 929.85 is: 1,391.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.31 : 1,539.09 = 929.85 : x
  2. Step 2: Convert to fraction form
    1,028.31/1,539.09 = 929.85/x
  3. Step 3: Cross multiply
    1,028.31x = 1,539.09 × 929.85
  4. Step 4: Simplify right side
    1,028.31x = 1,431,122.84
  5. Step 5: Solve for x
    x = 1,431,122.84/1,028.31
  6. Step 6: Final answer
    x = 1,391.72

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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.