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Finding the Fourth Proportional to 843.76, 1,264.14 and 583.54

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Solution

The fourth proportional to 843.76, 1,264.14 and 583.54 is: 874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.76 : 1,264.14 = 583.54 : x
  2. Step 2: Convert to fraction form
    843.76/1,264.14 = 583.54/x
  3. Step 3: Cross multiply
    843.76x = 1,264.14 × 583.54
  4. Step 4: Simplify right side
    843.76x = 737,676.26
  5. Step 5: Solve for x
    x = 737,676.26/843.76
  6. Step 6: Final answer
    x = 874.27

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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.