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Finding the Fourth Proportional to 823.97, 1,137.02 and 450.88

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Solution

The fourth proportional to 823.97, 1,137.02 and 450.88 is: 622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.97 : 1,137.02 = 450.88 : x
  2. Step 2: Convert to fraction form
    823.97/1,137.02 = 450.88/x
  3. Step 3: Cross multiply
    823.97x = 1,137.02 × 450.88
  4. Step 4: Simplify right side
    823.97x = 512,653.89
  5. Step 5: Solve for x
    x = 512,653.89/823.97
  6. Step 6: Final answer
    x = 622.18

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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.