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Finding the Fourth Proportional to 829.43, 1,144.60 and 456.40

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Solution

The fourth proportional to 829.43, 1,144.60 and 456.40 is: 629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.43 : 1,144.60 = 456.40 : x
  2. Step 2: Convert to fraction form
    829.43/1,144.60 = 456.40/x
  3. Step 3: Cross multiply
    829.43x = 1,144.60 × 456.40
  4. Step 4: Simplify right side
    829.43x = 522,387.44
  5. Step 5: Solve for x
    x = 522,387.44/829.43
  6. Step 6: Final answer
    x = 629.82

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