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Finding the Fourth Proportional to 844.10, 1,164.74 and 471.03

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Solution

The fourth proportional to 844.10, 1,164.74 and 471.03 is: 649.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.10 : 1,164.74 = 471.03 : x
  2. Step 2: Convert to fraction form
    844.10/1,164.74 = 471.03/x
  3. Step 3: Cross multiply
    844.10x = 1,164.74 × 471.03
  4. Step 4: Simplify right side
    844.10x = 548,628.66
  5. Step 5: Solve for x
    x = 548,628.66/844.10
  6. Step 6: Final answer
    x = 649.96

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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.