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Finding the Fourth Proportional to 793.56, 1,096.56 and 607.68

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Solution

The fourth proportional to 793.56, 1,096.56 and 607.68 is: 839.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.56 : 1,096.56 = 607.68 : x
  2. Step 2: Convert to fraction form
    793.56/1,096.56 = 607.68/x
  3. Step 3: Cross multiply
    793.56x = 1,096.56 × 607.68
  4. Step 4: Simplify right side
    793.56x = 666,357.58
  5. Step 5: Solve for x
    x = 666,357.58/793.56
  6. Step 6: Final answer
    x = 839.71

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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.