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Finding the Fourth Proportional to 792.60, 1,094.67 and 596.94

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Solution

The fourth proportional to 792.60, 1,094.67 and 596.94 is: 824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.60 : 1,094.67 = 596.94 : x
  2. Step 2: Convert to fraction form
    792.60/1,094.67 = 596.94/x
  3. Step 3: Cross multiply
    792.60x = 1,094.67 × 596.94
  4. Step 4: Simplify right side
    792.60x = 653,452.31
  5. Step 5: Solve for x
    x = 653,452.31/792.60
  6. Step 6: Final answer
    x = 824.44

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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.