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Finding the Fourth Proportional to 843.03, 1,264.41 and 477.63

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Solution

The fourth proportional to 843.03, 1,264.41 and 477.63 is: 716.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.03 : 1,264.41 = 477.63 : x
  2. Step 2: Convert to fraction form
    843.03/1,264.41 = 477.63/x
  3. Step 3: Cross multiply
    843.03x = 1,264.41 × 477.63
  4. Step 4: Simplify right side
    843.03x = 603,920.15
  5. Step 5: Solve for x
    x = 603,920.15/843.03
  6. Step 6: Final answer
    x = 716.37

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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.