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Finding the Fourth Proportional to 843.21, 1,264.61 and 569.43

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Solution

The fourth proportional to 843.21, 1,264.61 and 569.43 is: 854.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.21 : 1,264.61 = 569.43 : x
  2. Step 2: Convert to fraction form
    843.21/1,264.61 = 569.43/x
  3. Step 3: Cross multiply
    843.21x = 1,264.61 × 569.43
  4. Step 4: Simplify right side
    843.21x = 720,108.30
  5. Step 5: Solve for x
    x = 720,108.30/843.21
  6. Step 6: Final answer
    x = 854.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.