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Finding the Fourth Proportional to 945.52, 1,304.82 and 552.58

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Solution

The fourth proportional to 945.52, 1,304.82 and 552.58 is: 762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.52 : 1,304.82 = 552.58 : x
  2. Step 2: Convert to fraction form
    945.52/1,304.82 = 552.58/x
  3. Step 3: Cross multiply
    945.52x = 1,304.82 × 552.58
  4. Step 4: Simplify right side
    945.52x = 721,017.44
  5. Step 5: Solve for x
    x = 721,017.44/945.52
  6. Step 6: Final answer
    x = 762.56

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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.