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Finding the Fourth Proportional to 792.25, 1,091.54 and 543.13

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Solution

The fourth proportional to 792.25, 1,091.54 and 543.13 is: 748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.25 : 1,091.54 = 543.13 : x
  2. Step 2: Convert to fraction form
    792.25/1,091.54 = 543.13/x
  3. Step 3: Cross multiply
    792.25x = 1,091.54 × 543.13
  4. Step 4: Simplify right side
    792.25x = 592,846.75
  5. Step 5: Solve for x
    x = 592,846.75/792.25
  6. Step 6: Final answer
    x = 748.31

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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.