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Finding the Fourth Proportional to 792.75, 1,188.84 and 265.55

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Solution

The fourth proportional to 792.75, 1,188.84 and 265.55 is: 398.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.75 : 1,188.84 = 265.55 : x
  2. Step 2: Convert to fraction form
    792.75/1,188.84 = 265.55/x
  3. Step 3: Cross multiply
    792.75x = 1,188.84 × 265.55
  4. Step 4: Simplify right side
    792.75x = 315,691.51
  5. Step 5: Solve for x
    x = 315,691.51/792.75
  6. Step 6: Final answer
    x = 398.22

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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.