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Finding the Fourth Proportional to 961.53, 1,447.37 and 820.59

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Solution

The fourth proportional to 961.53, 1,447.37 and 820.59 is: 1,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.53 : 1,447.37 = 820.59 : x
  2. Step 2: Convert to fraction form
    961.53/1,447.37 = 820.59/x
  3. Step 3: Cross multiply
    961.53x = 1,447.37 × 820.59
  4. Step 4: Simplify right side
    961.53x = 1,187,690.89
  5. Step 5: Solve for x
    x = 1,187,690.89/961.53
  6. Step 6: Final answer
    x = 1,235.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.