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Finding the Fourth Proportional to 965.91, 1,332.96 and 523.82

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Solution

The fourth proportional to 965.91, 1,332.96 and 523.82 is: 722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.91 : 1,332.96 = 523.82 : x
  2. Step 2: Convert to fraction form
    965.91/1,332.96 = 523.82/x
  3. Step 3: Cross multiply
    965.91x = 1,332.96 × 523.82
  4. Step 4: Simplify right side
    965.91x = 698,224.44
  5. Step 5: Solve for x
    x = 698,224.44/965.91
  6. Step 6: Final answer
    x = 722.87

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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.