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Finding the Fourth Proportional to 844.14, 1,164.75 and 471

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Solution

The fourth proportional to 844.14, 1,164.75 and 471 is: 649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.14 : 1,164.75 = 471 : x
  2. Step 2: Convert to fraction form
    844.14/1,164.75 = 471/x
  3. Step 3: Cross multiply
    844.14x = 1,164.75 × 471
  4. Step 4: Simplify right side
    844.14x = 548,597.25
  5. Step 5: Solve for x
    x = 548,597.25/844.14
  6. Step 6: Final answer
    x = 649.89

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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.