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Finding the Fourth Proportional to 829.03, 1,144.10 and 456.02

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Solution

The fourth proportional to 829.03, 1,144.10 and 456.02 is: 629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.03 : 1,144.10 = 456.02 : x
  2. Step 2: Convert to fraction form
    829.03/1,144.10 = 456.02/x
  3. Step 3: Cross multiply
    829.03x = 1,144.10 × 456.02
  4. Step 4: Simplify right side
    829.03x = 521,732.48
  5. Step 5: Solve for x
    x = 521,732.48/829.03
  6. Step 6: Final answer
    x = 629.33

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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.