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Finding the Fourth Proportional to 844.29, 1,263.78 and 535.68

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Solution

The fourth proportional to 844.29, 1,263.78 and 535.68 is: 801.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.29 : 1,263.78 = 535.68 : x
  2. Step 2: Convert to fraction form
    844.29/1,263.78 = 535.68/x
  3. Step 3: Cross multiply
    844.29x = 1,263.78 × 535.68
  4. Step 4: Simplify right side
    844.29x = 676,981.67
  5. Step 5: Solve for x
    x = 676,981.67/844.29
  6. Step 6: Final answer
    x = 801.84

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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.