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Finding the Fourth Proportional to 765.73, 1,057.07 and 450.89

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Solution

The fourth proportional to 765.73, 1,057.07 and 450.89 is: 622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.73 : 1,057.07 = 450.89 : x
  2. Step 2: Convert to fraction form
    765.73/1,057.07 = 450.89/x
  3. Step 3: Cross multiply
    765.73x = 1,057.07 × 450.89
  4. Step 4: Simplify right side
    765.73x = 476,622.68
  5. Step 5: Solve for x
    x = 476,622.68/765.73
  6. Step 6: Final answer
    x = 622.44

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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.