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Finding the Fourth Proportional to 962.49, 1,329.21 and 829.44

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Solution

The fourth proportional to 962.49, 1,329.21 and 829.44 is: 1,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.49 : 1,329.21 = 829.44 : x
  2. Step 2: Convert to fraction form
    962.49/1,329.21 = 829.44/x
  3. Step 3: Cross multiply
    962.49x = 1,329.21 × 829.44
  4. Step 4: Simplify right side
    962.49x = 1,102,499.94
  5. Step 5: Solve for x
    x = 1,102,499.94/962.49
  6. Step 6: Final answer
    x = 1,145.47

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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.