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Finding the Fourth Proportional to 945.28, 1,304.42 and 525.63

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Solution

The fourth proportional to 945.28, 1,304.42 and 525.63 is: 725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.28 : 1,304.42 = 525.63 : x
  2. Step 2: Convert to fraction form
    945.28/1,304.42 = 525.63/x
  3. Step 3: Cross multiply
    945.28x = 1,304.42 × 525.63
  4. Step 4: Simplify right side
    945.28x = 685,639.66
  5. Step 5: Solve for x
    x = 685,639.66/945.28
  6. Step 6: Final answer
    x = 725.33

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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.