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Finding the Fourth Proportional to 793.68, 1,096.32 and 584.28

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Solution

The fourth proportional to 793.68, 1,096.32 and 584.28 is: 807.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.68 : 1,096.32 = 584.28 : x
  2. Step 2: Convert to fraction form
    793.68/1,096.32 = 584.28/x
  3. Step 3: Cross multiply
    793.68x = 1,096.32 × 584.28
  4. Step 4: Simplify right side
    793.68x = 640,557.85
  5. Step 5: Solve for x
    x = 640,557.85/793.68
  6. Step 6: Final answer
    x = 807.07

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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.