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Finding the Fourth Proportional to 902.49, 1,245.02 and 571.41

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Solution

The fourth proportional to 902.49, 1,245.02 and 571.41 is: 788.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.49 : 1,245.02 = 571.41 : x
  2. Step 2: Convert to fraction form
    902.49/1,245.02 = 571.41/x
  3. Step 3: Cross multiply
    902.49x = 1,245.02 × 571.41
  4. Step 4: Simplify right side
    902.49x = 711,414.02
  5. Step 5: Solve for x
    x = 711,414.02/902.49
  6. Step 6: Final answer
    x = 788.28

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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.