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Finding the Fourth Proportional to 792.62, 1,182.17 and 743.00

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Solution

The fourth proportional to 792.62, 1,182.17 and 743.00 is: 1,108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.62 : 1,182.17 = 743.00 : x
  2. Step 2: Convert to fraction form
    792.62/1,182.17 = 743.00/x
  3. Step 3: Cross multiply
    792.62x = 1,182.17 × 743.00
  4. Step 4: Simplify right side
    792.62x = 878,342.68
  5. Step 5: Solve for x
    x = 878,342.68/792.62
  6. Step 6: Final answer
    x = 1,108.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.