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Finding the Fourth Proportional to 965.91, 1,447.14 and 349.23

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Solution

The fourth proportional to 965.91, 1,447.14 and 349.23 is: 523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.91 : 1,447.14 = 349.23 : x
  2. Step 2: Convert to fraction form
    965.91/1,447.14 = 349.23/x
  3. Step 3: Cross multiply
    965.91x = 1,447.14 × 349.23
  4. Step 4: Simplify right side
    965.91x = 505,384.70
  5. Step 5: Solve for x
    x = 505,384.70/965.91
  6. Step 6: Final answer
    x = 523.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.