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Finding the Fourth Proportional to 793.92, 1,184.40 and 779.52

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Solution

The fourth proportional to 793.92, 1,184.40 and 779.52 is: 1,162.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.92 : 1,184.40 = 779.52 : x
  2. Step 2: Convert to fraction form
    793.92/1,184.40 = 779.52/x
  3. Step 3: Cross multiply
    793.92x = 1,184.40 × 779.52
  4. Step 4: Simplify right side
    793.92x = 923,263.49
  5. Step 5: Solve for x
    x = 923,263.49/793.92
  6. Step 6: Final answer
    x = 1,162.92

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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.