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Finding the Fourth Proportional to 792.13, 1,187.16 and 426.13

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Solution

The fourth proportional to 792.13, 1,187.16 and 426.13 is: 638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.13 : 1,187.16 = 426.13 : x
  2. Step 2: Convert to fraction form
    792.13/1,187.16 = 426.13/x
  3. Step 3: Cross multiply
    792.13x = 1,187.16 × 426.13
  4. Step 4: Simplify right side
    792.13x = 505,884.49
  5. Step 5: Solve for x
    x = 505,884.49/792.13
  6. Step 6: Final answer
    x = 638.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.