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Finding the Fourth Proportional to 844, 1,164.62 and 471

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Solution

The fourth proportional to 844, 1,164.62 and 471 is: 649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    844 : 1,164.62 = 471 : x
  2. Step 2: Convert to fraction form
    844/1,164.62 = 471/x
  3. Step 3: Cross multiply
    844x = 1,164.62 × 471
  4. Step 4: Simplify right side
    844x = 548,536.02
  5. Step 5: Solve for x
    x = 548,536.02/844
  6. Step 6: Final answer
    x = 649.92

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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.