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Finding the Fourth Proportional to 843.36, 1,164.54 and 595.23

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Solution

The fourth proportional to 843.36, 1,164.54 and 595.23 is: 821.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.36 : 1,164.54 = 595.23 : x
  2. Step 2: Convert to fraction form
    843.36/1,164.54 = 595.23/x
  3. Step 3: Cross multiply
    843.36x = 1,164.54 × 595.23
  4. Step 4: Simplify right side
    843.36x = 693,169.14
  5. Step 5: Solve for x
    x = 693,169.14/843.36
  6. Step 6: Final answer
    x = 821.91

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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.