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Finding the Fourth Proportional to 801.73, 1,202.96 and 435.97

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Solution

The fourth proportional to 801.73, 1,202.96 and 435.97 is: 654.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.73 : 1,202.96 = 435.97 : x
  2. Step 2: Convert to fraction form
    801.73/1,202.96 = 435.97/x
  3. Step 3: Cross multiply
    801.73x = 1,202.96 × 435.97
  4. Step 4: Simplify right side
    801.73x = 524,454.47
  5. Step 5: Solve for x
    x = 524,454.47/801.73
  6. Step 6: Final answer
    x = 654.15

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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.