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Finding the Fourth Proportional to 844.17, 1,164.09 and 657.33

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Solution

The fourth proportional to 844.17, 1,164.09 and 657.33 is: 906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.17 : 1,164.09 = 657.33 : x
  2. Step 2: Convert to fraction form
    844.17/1,164.09 = 657.33/x
  3. Step 3: Cross multiply
    844.17x = 1,164.09 × 657.33
  4. Step 4: Simplify right side
    844.17x = 765,191.28
  5. Step 5: Solve for x
    x = 765,191.28/844.17
  6. Step 6: Final answer
    x = 906.44

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1.5x scale

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.