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Finding the Fourth Proportional to 792.60, 1,093.77 and 477.72

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Solution

The fourth proportional to 792.60, 1,093.77 and 477.72 is: 659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.60 : 1,093.77 = 477.72 : x
  2. Step 2: Convert to fraction form
    792.60/1,093.77 = 477.72/x
  3. Step 3: Cross multiply
    792.60x = 1,093.77 × 477.72
  4. Step 4: Simplify right side
    792.60x = 522,515.80
  5. Step 5: Solve for x
    x = 522,515.80/792.60
  6. Step 6: Final answer
    x = 659.24

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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.