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Finding the Fourth Proportional to 945.21, 1,304.40 and 525.57

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Solution

The fourth proportional to 945.21, 1,304.40 and 525.57 is: 725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.21 : 1,304.40 = 525.57 : x
  2. Step 2: Convert to fraction form
    945.21/1,304.40 = 525.57/x
  3. Step 3: Cross multiply
    945.21x = 1,304.40 × 525.57
  4. Step 4: Simplify right side
    945.21x = 685,553.51
  5. Step 5: Solve for x
    x = 685,553.51/945.21
  6. Step 6: Final answer
    x = 725.29

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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.