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Finding the Fourth Proportional to 794.54, 1,097.79 and 706.43

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Solution

The fourth proportional to 794.54, 1,097.79 and 706.43 is: 976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.54 : 1,097.79 = 706.43 : x
  2. Step 2: Convert to fraction form
    794.54/1,097.79 = 706.43/x
  3. Step 3: Cross multiply
    794.54x = 1,097.79 × 706.43
  4. Step 4: Simplify right side
    794.54x = 775,511.79
  5. Step 5: Solve for x
    x = 775,511.79/794.54
  6. Step 6: Final answer
    x = 976.05

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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.