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Finding the Fourth Proportional to 849.02, 1,171.62 and 475.97

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Solution

The fourth proportional to 849.02, 1,171.62 and 475.97 is: 656.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.02 : 1,171.62 = 475.97 : x
  2. Step 2: Convert to fraction form
    849.02/1,171.62 = 475.97/x
  3. Step 3: Cross multiply
    849.02x = 1,171.62 × 475.97
  4. Step 4: Simplify right side
    849.02x = 557,650.11
  5. Step 5: Solve for x
    x = 557,650.11/849.02
  6. Step 6: Final answer
    x = 656.82

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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.