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Finding the Fourth Proportional to 945.10, 1,304.59 and 552.25

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Solution

The fourth proportional to 945.10, 1,304.59 and 552.25 is: 762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.10 : 1,304.59 = 552.25 : x
  2. Step 2: Convert to fraction form
    945.10/1,304.59 = 552.25/x
  3. Step 3: Cross multiply
    945.10x = 1,304.59 × 552.25
  4. Step 4: Simplify right side
    945.10x = 720,453.30
  5. Step 5: Solve for x
    x = 720,453.30/945.10
  6. Step 6: Final answer
    x = 762.31

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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.