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Finding the Fourth Proportional to 965.78, 1,329.30 and 825.42

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Solution

The fourth proportional to 965.78, 1,329.30 and 825.42 is: 1,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.78 : 1,329.30 = 825.42 : x
  2. Step 2: Convert to fraction form
    965.78/1,329.30 = 825.42/x
  3. Step 3: Cross multiply
    965.78x = 1,329.30 × 825.42
  4. Step 4: Simplify right side
    965.78x = 1,097,230.81
  5. Step 5: Solve for x
    x = 1,097,230.81/965.78
  6. Step 6: Final answer
    x = 1,136.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.