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Finding the Fourth Proportional to 793.14, 1,094.02 and 556.73

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Solution

The fourth proportional to 793.14, 1,094.02 and 556.73 is: 767.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.14 : 1,094.02 = 556.73 : x
  2. Step 2: Convert to fraction form
    793.14/1,094.02 = 556.73/x
  3. Step 3: Cross multiply
    793.14x = 1,094.02 × 556.73
  4. Step 4: Simplify right side
    793.14x = 609,073.75
  5. Step 5: Solve for x
    x = 609,073.75/793.14
  6. Step 6: Final answer
    x = 767.93

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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.