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Finding the Fourth Proportional to 894.57, 1,340.28 and 620.83

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Solution

The fourth proportional to 894.57, 1,340.28 and 620.83 is: 930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.57 : 1,340.28 = 620.83 : x
  2. Step 2: Convert to fraction form
    894.57/1,340.28 = 620.83/x
  3. Step 3: Cross multiply
    894.57x = 1,340.28 × 620.83
  4. Step 4: Simplify right side
    894.57x = 832,086.03
  5. Step 5: Solve for x
    x = 832,086.03/894.57
  6. Step 6: Final answer
    x = 930.16

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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.