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Finding the Fourth Proportional to 843.82, 1,164.27 and 594.74

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Solution

The fourth proportional to 843.82, 1,164.27 and 594.74 is: 820.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.82 : 1,164.27 = 594.74 : x
  2. Step 2: Convert to fraction form
    843.82/1,164.27 = 594.74/x
  3. Step 3: Cross multiply
    843.82x = 1,164.27 × 594.74
  4. Step 4: Simplify right side
    843.82x = 692,443.08
  5. Step 5: Solve for x
    x = 692,443.08/843.82
  6. Step 6: Final answer
    x = 820.61

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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.