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Finding the Fourth Proportional to 844.10, 1,164.72 and 471.06

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Solution

The fourth proportional to 844.10, 1,164.72 and 471.06 is: 649.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.10 : 1,164.72 = 471.06 : x
  2. Step 2: Convert to fraction form
    844.10/1,164.72 = 471.06/x
  3. Step 3: Cross multiply
    844.10x = 1,164.72 × 471.06
  4. Step 4: Simplify right side
    844.10x = 548,653.00
  5. Step 5: Solve for x
    x = 548,653.00/844.10
  6. Step 6: Final answer
    x = 649.99

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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.