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Finding the Fourth Proportional to 959.82, 1,439.72 and 829.42

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Solution

The fourth proportional to 959.82, 1,439.72 and 829.42 is: 1,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.82 : 1,439.72 = 829.42 : x
  2. Step 2: Convert to fraction form
    959.82/1,439.72 = 829.42/x
  3. Step 3: Cross multiply
    959.82x = 1,439.72 × 829.42
  4. Step 4: Simplify right side
    959.82x = 1,194,136.44
  5. Step 5: Solve for x
    x = 1,194,136.44/959.82
  6. Step 6: Final answer
    x = 1,244.13

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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.