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Finding the Fourth Proportional to 829.41, 1,144.53 and 456.37

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Solution

The fourth proportional to 829.41, 1,144.53 and 456.37 is: 629.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.41 : 1,144.53 = 456.37 : x
  2. Step 2: Convert to fraction form
    829.41/1,144.53 = 456.37/x
  3. Step 3: Cross multiply
    829.41x = 1,144.53 × 456.37
  4. Step 4: Simplify right side
    829.41x = 522,329.16
  5. Step 5: Solve for x
    x = 522,329.16/829.41
  6. Step 6: Final answer
    x = 629.76

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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.