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Finding the Fourth Proportional to 793.82, 1,184.88 and 736.76

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Solution

The fourth proportional to 793.82, 1,184.88 and 736.76 is: 1,099.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.82 : 1,184.88 = 736.76 : x
  2. Step 2: Convert to fraction form
    793.82/1,184.88 = 736.76/x
  3. Step 3: Cross multiply
    793.82x = 1,184.88 × 736.76
  4. Step 4: Simplify right side
    793.82x = 872,966.26
  5. Step 5: Solve for x
    x = 872,966.26/793.82
  6. Step 6: Final answer
    x = 1,099.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.