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Finding the Fourth Proportional to 945.05, 1,304.17 and 525.44

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Solution

The fourth proportional to 945.05, 1,304.17 and 525.44 is: 725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.05 : 1,304.17 = 525.44 : x
  2. Step 2: Convert to fraction form
    945.05/1,304.17 = 525.44/x
  3. Step 3: Cross multiply
    945.05x = 1,304.17 × 525.44
  4. Step 4: Simplify right side
    945.05x = 685,265.54
  5. Step 5: Solve for x
    x = 685,265.54/945.05
  6. Step 6: Final answer
    x = 725.11

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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.