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Finding the Fourth Proportional to 792.55, 1,093.47 and 460.86

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Solution

The fourth proportional to 792.55, 1,093.47 and 460.86 is: 635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.55 : 1,093.47 = 460.86 : x
  2. Step 2: Convert to fraction form
    792.55/1,093.47 = 460.86/x
  3. Step 3: Cross multiply
    792.55x = 1,093.47 × 460.86
  4. Step 4: Simplify right side
    792.55x = 503,930.76
  5. Step 5: Solve for x
    x = 503,930.76/792.55
  6. Step 6: Final answer
    x = 635.83

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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.