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Finding the Fourth Proportional to 1,033.58, 1,550.30 and 416.54

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Solution

The fourth proportional to 1,033.58, 1,550.30 and 416.54 is: 624.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.58 : 1,550.30 = 416.54 : x
  2. Step 2: Convert to fraction form
    1,033.58/1,550.30 = 416.54/x
  3. Step 3: Cross multiply
    1,033.58x = 1,550.30 × 416.54
  4. Step 4: Simplify right side
    1,033.58x = 645,761.96
  5. Step 5: Solve for x
    x = 645,761.96/1,033.58
  6. Step 6: Final answer
    x = 624.78

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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.