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Finding the Fourth Proportional to 844.23, 1,264.26 and 535.14

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Solution

The fourth proportional to 844.23, 1,264.26 and 535.14 is: 801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.23 : 1,264.26 = 535.14 : x
  2. Step 2: Convert to fraction form
    844.23/1,264.26 = 535.14/x
  3. Step 3: Cross multiply
    844.23x = 1,264.26 × 535.14
  4. Step 4: Simplify right side
    844.23x = 676,556.10
  5. Step 5: Solve for x
    x = 676,556.10/844.23
  6. Step 6: Final answer
    x = 801.39

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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.