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Finding the Fourth Proportional to 965.28, 1,447.34 and 470.72

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Solution

The fourth proportional to 965.28, 1,447.34 and 470.72 is: 705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.28 : 1,447.34 = 470.72 : x
  2. Step 2: Convert to fraction form
    965.28/1,447.34 = 470.72/x
  3. Step 3: Cross multiply
    965.28x = 1,447.34 × 470.72
  4. Step 4: Simplify right side
    965.28x = 681,291.88
  5. Step 5: Solve for x
    x = 681,291.88/965.28
  6. Step 6: Final answer
    x = 705.80

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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.