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Finding the Fourth Proportional to 945.19, 1,304.26 and 525.56

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Solution

The fourth proportional to 945.19, 1,304.26 and 525.56 is: 725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.19 : 1,304.26 = 525.56 : x
  2. Step 2: Convert to fraction form
    945.19/1,304.26 = 525.56/x
  3. Step 3: Cross multiply
    945.19x = 1,304.26 × 525.56
  4. Step 4: Simplify right side
    945.19x = 685,459.05
  5. Step 5: Solve for x
    x = 685,459.05/945.19
  6. Step 6: Final answer
    x = 725.21

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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.