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Finding the Fourth Proportional to 793.22, 1,094.90 and 557.22

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Solution

The fourth proportional to 793.22, 1,094.90 and 557.22 is: 769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.22 : 1,094.90 = 557.22 : x
  2. Step 2: Convert to fraction form
    793.22/1,094.90 = 557.22/x
  3. Step 3: Cross multiply
    793.22x = 1,094.90 × 557.22
  4. Step 4: Simplify right side
    793.22x = 610,101.50
  5. Step 5: Solve for x
    x = 610,101.50/793.22
  6. Step 6: Final answer
    x = 769.15

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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.