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Finding the Fourth Proportional to 794.92, 1,096.44 and 545.80

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Solution

The fourth proportional to 794.92, 1,096.44 and 545.80 is: 752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.92 : 1,096.44 = 545.80 : x
  2. Step 2: Convert to fraction form
    794.92/1,096.44 = 545.80/x
  3. Step 3: Cross multiply
    794.92x = 1,096.44 × 545.80
  4. Step 4: Simplify right side
    794.92x = 598,436.95
  5. Step 5: Solve for x
    x = 598,436.95/794.92
  6. Step 6: Final answer
    x = 752.83

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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.