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Finding the Fourth Proportional to 902.73, 1,355.00 and 643.02

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Solution

The fourth proportional to 902.73, 1,355.00 and 643.02 is: 965.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.73 : 1,355.00 = 643.02 : x
  2. Step 2: Convert to fraction form
    902.73/1,355.00 = 643.02/x
  3. Step 3: Cross multiply
    902.73x = 1,355.00 × 643.02
  4. Step 4: Simplify right side
    902.73x = 871,288.88
  5. Step 5: Solve for x
    x = 871,288.88/902.73
  6. Step 6: Final answer
    x = 965.17

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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.