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Finding the Fourth Proportional to 945.28, 1,304.94 and 735.04

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Solution

The fourth proportional to 945.28, 1,304.94 and 735.04 is: 1,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.28 : 1,304.94 = 735.04 : x
  2. Step 2: Convert to fraction form
    945.28/1,304.94 = 735.04/x
  3. Step 3: Cross multiply
    945.28x = 1,304.94 × 735.04
  4. Step 4: Simplify right side
    945.28x = 959,183.10
  5. Step 5: Solve for x
    x = 959,183.10/945.28
  6. Step 6: Final answer
    x = 1,014.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.