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Finding the Fourth Proportional to 789.49, 1,095.13 and 747.97

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Solution

The fourth proportional to 789.49, 1,095.13 and 747.97 is: 1,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.49 : 1,095.13 = 747.97 : x
  2. Step 2: Convert to fraction form
    789.49/1,095.13 = 747.97/x
  3. Step 3: Cross multiply
    789.49x = 1,095.13 × 747.97
  4. Step 4: Simplify right side
    789.49x = 819,124.39
  5. Step 5: Solve for x
    x = 819,124.39/789.49
  6. Step 6: Final answer
    x = 1,037.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.