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Finding the Fourth Proportional to 965.17, 1,447.76 and 477.73

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Solution

The fourth proportional to 965.17, 1,447.76 and 477.73 is: 716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.17 : 1,447.76 = 477.73 : x
  2. Step 2: Convert to fraction form
    965.17/1,447.76 = 477.73/x
  3. Step 3: Cross multiply
    965.17x = 1,447.76 × 477.73
  4. Step 4: Simplify right side
    965.17x = 691,636.00
  5. Step 5: Solve for x
    x = 691,636.00/965.17
  6. Step 6: Final answer
    x = 716.60

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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.