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Finding the Fourth Proportional to 965.81, 1,332.81 and 523.70

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Solution

The fourth proportional to 965.81, 1,332.81 and 523.70 is: 722.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.81 : 1,332.81 = 523.70 : x
  2. Step 2: Convert to fraction form
    965.81/1,332.81 = 523.70/x
  3. Step 3: Cross multiply
    965.81x = 1,332.81 × 523.70
  4. Step 4: Simplify right side
    965.81x = 697,995.93
  5. Step 5: Solve for x
    x = 697,995.93/965.81
  6. Step 6: Final answer
    x = 722.71

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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.