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Finding the Fourth Proportional to 965.39, 1,332.25 and 523.29

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Solution

The fourth proportional to 965.39, 1,332.25 and 523.29 is: 722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.39 : 1,332.25 = 523.29 : x
  2. Step 2: Convert to fraction form
    965.39/1,332.25 = 523.29/x
  3. Step 3: Cross multiply
    965.39x = 1,332.25 × 523.29
  4. Step 4: Simplify right side
    965.39x = 697,151.14
  5. Step 5: Solve for x
    x = 697,151.14/965.39
  6. Step 6: Final answer
    x = 722.14

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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.