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Finding the Fourth Proportional to 844.14, 1,164.91 and 471.16

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Solution

The fourth proportional to 844.14, 1,164.91 and 471.16 is: 650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.14 : 1,164.91 = 471.16 : x
  2. Step 2: Convert to fraction form
    844.14/1,164.91 = 471.16/x
  3. Step 3: Cross multiply
    844.14x = 1,164.91 × 471.16
  4. Step 4: Simplify right side
    844.14x = 548,859.00
  5. Step 5: Solve for x
    x = 548,859.00/844.14
  6. Step 6: Final answer
    x = 650.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.