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Finding the Fourth Proportional to 945.53, 1,304.91 and 552.68

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Solution

The fourth proportional to 945.53, 1,304.91 and 552.68 is: 762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.53 : 1,304.91 = 552.68 : x
  2. Step 2: Convert to fraction form
    945.53/1,304.91 = 552.68/x
  3. Step 3: Cross multiply
    945.53x = 1,304.91 × 552.68
  4. Step 4: Simplify right side
    945.53x = 721,197.66
  5. Step 5: Solve for x
    x = 721,197.66/945.53
  6. Step 6: Final answer
    x = 762.74

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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.