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Finding the Fourth Proportional to 945.44, 1,304.16 and 552.41

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Solution

The fourth proportional to 945.44, 1,304.16 and 552.41 is: 762.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.44 : 1,304.16 = 552.41 : x
  2. Step 2: Convert to fraction form
    945.44/1,304.16 = 552.41/x
  3. Step 3: Cross multiply
    945.44x = 1,304.16 × 552.41
  4. Step 4: Simplify right side
    945.44x = 720,431.03
  5. Step 5: Solve for x
    x = 720,431.03/945.44
  6. Step 6: Final answer
    x = 762.01

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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.