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Finding the Fourth Proportional to 792.52, 1,091.88 and 592.48

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Solution

The fourth proportional to 792.52, 1,091.88 and 592.48 is: 816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.52 : 1,091.88 = 592.48 : x
  2. Step 2: Convert to fraction form
    792.52/1,091.88 = 592.48/x
  3. Step 3: Cross multiply
    792.52x = 1,091.88 × 592.48
  4. Step 4: Simplify right side
    792.52x = 646,917.06
  5. Step 5: Solve for x
    x = 646,917.06/792.52
  6. Step 6: Final answer
    x = 816.28

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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.