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Finding the Fourth Proportional to 829.28, 1,144.25 and 475.14

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Solution

The fourth proportional to 829.28, 1,144.25 and 475.14 is: 655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.28 : 1,144.25 = 475.14 : x
  2. Step 2: Convert to fraction form
    829.28/1,144.25 = 475.14/x
  3. Step 3: Cross multiply
    829.28x = 1,144.25 × 475.14
  4. Step 4: Simplify right side
    829.28x = 543,676.57
  5. Step 5: Solve for x
    x = 543,676.57/829.28
  6. Step 6: Final answer
    x = 655.60

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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.