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Finding the Fourth Proportional to 965.23, 1,332.01 and 523.13

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Solution

The fourth proportional to 965.23, 1,332.01 and 523.13 is: 721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.23 : 1,332.01 = 523.13 : x
  2. Step 2: Convert to fraction form
    965.23/1,332.01 = 523.13/x
  3. Step 3: Cross multiply
    965.23x = 1,332.01 × 523.13
  4. Step 4: Simplify right side
    965.23x = 696,807.73
  5. Step 5: Solve for x
    x = 696,807.73/965.23
  6. Step 6: Final answer
    x = 721.91

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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.