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Finding the Fourth Proportional to 847.45, 1,268.46 and 552.59

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Solution

The fourth proportional to 847.45, 1,268.46 and 552.59 is: 827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.45 : 1,268.46 = 552.59 : x
  2. Step 2: Convert to fraction form
    847.45/1,268.46 = 552.59/x
  3. Step 3: Cross multiply
    847.45x = 1,268.46 × 552.59
  4. Step 4: Simplify right side
    847.45x = 700,936.73
  5. Step 5: Solve for x
    x = 700,936.73/847.45
  6. Step 6: Final answer
    x = 827.12

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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.