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Finding the Fourth Proportional to 792.91, 1,189.61 and 562.25

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Solution

The fourth proportional to 792.91, 1,189.61 and 562.25 is: 843.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.91 : 1,189.61 = 562.25 : x
  2. Step 2: Convert to fraction form
    792.91/1,189.61 = 562.25/x
  3. Step 3: Cross multiply
    792.91x = 1,189.61 × 562.25
  4. Step 4: Simplify right side
    792.91x = 668,849.46
  5. Step 5: Solve for x
    x = 668,849.46/792.91
  6. Step 6: Final answer
    x = 843.54

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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.