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Finding the Fourth Proportional to 792.49, 1,093.98 and 523.30

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Solution

The fourth proportional to 792.49, 1,093.98 and 523.30 is: 722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.49 : 1,093.98 = 523.30 : x
  2. Step 2: Convert to fraction form
    792.49/1,093.98 = 523.30/x
  3. Step 3: Cross multiply
    792.49x = 1,093.98 × 523.30
  4. Step 4: Simplify right side
    792.49x = 572,478.96
  5. Step 5: Solve for x
    x = 572,478.96/792.49
  6. Step 6: Final answer
    x = 722.38

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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.