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Finding the Fourth Proportional to 829.44, 1,144.64 and 456.45

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Solution

The fourth proportional to 829.44, 1,144.64 and 456.45 is: 629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.44 : 1,144.64 = 456.45 : x
  2. Step 2: Convert to fraction form
    829.44/1,144.64 = 456.45/x
  3. Step 3: Cross multiply
    829.44x = 1,144.64 × 456.45
  4. Step 4: Simplify right side
    829.44x = 522,468.65
  5. Step 5: Solve for x
    x = 522,468.65/829.44
  6. Step 6: Final answer
    x = 629.91

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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.