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Finding the Fourth Proportional to 945.41, 1,304.66 and 531.41

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Solution

The fourth proportional to 945.41, 1,304.66 and 531.41 is: 733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.41 : 1,304.66 = 531.41 : x
  2. Step 2: Convert to fraction form
    945.41/1,304.66 = 531.41/x
  3. Step 3: Cross multiply
    945.41x = 1,304.66 × 531.41
  4. Step 4: Simplify right side
    945.41x = 693,309.37
  5. Step 5: Solve for x
    x = 693,309.37/945.41
  6. Step 6: Final answer
    x = 733.34

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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.