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Finding the Fourth Proportional to 834.44, 1,150.41 and 598.73

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Solution

The fourth proportional to 834.44, 1,150.41 and 598.73 is: 825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.44 : 1,150.41 = 598.73 : x
  2. Step 2: Convert to fraction form
    834.44/1,150.41 = 598.73/x
  3. Step 3: Cross multiply
    834.44x = 1,150.41 × 598.73
  4. Step 4: Simplify right side
    834.44x = 688,784.98
  5. Step 5: Solve for x
    x = 688,784.98/834.44
  6. Step 6: Final answer
    x = 825.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.