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Finding the Fourth Proportional to 945.24, 1,304.46 and 572.29

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Solution

The fourth proportional to 945.24, 1,304.46 and 572.29 is: 789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.24 : 1,304.46 = 572.29 : x
  2. Step 2: Convert to fraction form
    945.24/1,304.46 = 572.29/x
  3. Step 3: Cross multiply
    945.24x = 1,304.46 × 572.29
  4. Step 4: Simplify right side
    945.24x = 746,520.03
  5. Step 5: Solve for x
    x = 746,520.03/945.24
  6. Step 6: Final answer
    x = 789.77

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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.