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Finding the Fourth Proportional to 793.60, 1,094.50 and 596.78

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Solution

The fourth proportional to 793.60, 1,094.50 and 596.78 is: 823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.60 : 1,094.50 = 596.78 : x
  2. Step 2: Convert to fraction form
    793.60/1,094.50 = 596.78/x
  3. Step 3: Cross multiply
    793.60x = 1,094.50 × 596.78
  4. Step 4: Simplify right side
    793.60x = 653,175.71
  5. Step 5: Solve for x
    x = 653,175.71/793.60
  6. Step 6: Final answer
    x = 823.05

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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.