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Finding the Fourth Proportional to 792.84, 1,093.64 and 523.66

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Solution

The fourth proportional to 792.84, 1,093.64 and 523.66 is: 722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.84 : 1,093.64 = 523.66 : x
  2. Step 2: Convert to fraction form
    792.84/1,093.64 = 523.66/x
  3. Step 3: Cross multiply
    792.84x = 1,093.64 × 523.66
  4. Step 4: Simplify right side
    792.84x = 572,692.13
  5. Step 5: Solve for x
    x = 572,692.13/792.84
  6. Step 6: Final answer
    x = 722.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.