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Finding the Fourth Proportional to 1,033.14, 1,546.95 and 620.34

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Solution

The fourth proportional to 1,033.14, 1,546.95 and 620.34 is: 928.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.14 : 1,546.95 = 620.34 : x
  2. Step 2: Convert to fraction form
    1,033.14/1,546.95 = 620.34/x
  3. Step 3: Cross multiply
    1,033.14x = 1,546.95 × 620.34
  4. Step 4: Simplify right side
    1,033.14x = 959,634.96
  5. Step 5: Solve for x
    x = 959,634.96/1,033.14
  6. Step 6: Final answer
    x = 928.85

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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.