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Finding the Fourth Proportional to 945.80, 1,304.94 and 614.42

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Solution

The fourth proportional to 945.80, 1,304.94 and 614.42 is: 847.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.80 : 1,304.94 = 614.42 : x
  2. Step 2: Convert to fraction form
    945.80/1,304.94 = 614.42/x
  3. Step 3: Cross multiply
    945.80x = 1,304.94 × 614.42
  4. Step 4: Simplify right side
    945.80x = 801,781.23
  5. Step 5: Solve for x
    x = 801,781.23/945.80
  6. Step 6: Final answer
    x = 847.73

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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.