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Finding the Fourth Proportional to 965.09, 1,446.58 and 495.92

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Solution

The fourth proportional to 965.09, 1,446.58 and 495.92 is: 743.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.09 : 1,446.58 = 495.92 : x
  2. Step 2: Convert to fraction form
    965.09/1,446.58 = 495.92/x
  3. Step 3: Cross multiply
    965.09x = 1,446.58 × 495.92
  4. Step 4: Simplify right side
    965.09x = 717,387.95
  5. Step 5: Solve for x
    x = 717,387.95/965.09
  6. Step 6: Final answer
    x = 743.34

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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.