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Finding the Fourth Proportional to 945.24, 1,304.36 and 525.54

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Solution

The fourth proportional to 945.24, 1,304.36 and 525.54 is: 725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.24 : 1,304.36 = 525.54 : x
  2. Step 2: Convert to fraction form
    945.24/1,304.36 = 525.54/x
  3. Step 3: Cross multiply
    945.24x = 1,304.36 × 525.54
  4. Step 4: Simplify right side
    945.24x = 685,493.35
  5. Step 5: Solve for x
    x = 685,493.35/945.24
  6. Step 6: Final answer
    x = 725.21

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