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Finding the Fourth Proportional to 945.81, 1,304.79 and 552.66

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Solution

The fourth proportional to 945.81, 1,304.79 and 552.66 is: 762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.81 : 1,304.79 = 552.66 : x
  2. Step 2: Convert to fraction form
    945.81/1,304.79 = 552.66/x
  3. Step 3: Cross multiply
    945.81x = 1,304.79 × 552.66
  4. Step 4: Simplify right side
    945.81x = 721,105.24
  5. Step 5: Solve for x
    x = 721,105.24/945.81
  6. Step 6: Final answer
    x = 762.42

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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.