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Finding the Fourth Proportional to 965.46, 1,447.14 and 470.82

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Solution

The fourth proportional to 965.46, 1,447.14 and 470.82 is: 705.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.46 : 1,447.14 = 470.82 : x
  2. Step 2: Convert to fraction form
    965.46/1,447.14 = 470.82/x
  3. Step 3: Cross multiply
    965.46x = 1,447.14 × 470.82
  4. Step 4: Simplify right side
    965.46x = 681,342.45
  5. Step 5: Solve for x
    x = 681,342.45/965.46
  6. Step 6: Final answer
    x = 705.72

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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.