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Finding the Fourth Proportional to 945.25, 1,304.21 and 590.62

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Solution

The fourth proportional to 945.25, 1,304.21 and 590.62 is: 814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.25 : 1,304.21 = 590.62 : x
  2. Step 2: Convert to fraction form
    945.25/1,304.21 = 590.62/x
  3. Step 3: Cross multiply
    945.25x = 1,304.21 × 590.62
  4. Step 4: Simplify right side
    945.25x = 770,286.30
  5. Step 5: Solve for x
    x = 770,286.30/945.25
  6. Step 6: Final answer
    x = 814.90

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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.