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Finding the Fourth Proportional to 794.39, 1,096.83 and 514.79

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Solution

The fourth proportional to 794.39, 1,096.83 and 514.79 is: 710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.39 : 1,096.83 = 514.79 : x
  2. Step 2: Convert to fraction form
    794.39/1,096.83 = 514.79/x
  3. Step 3: Cross multiply
    794.39x = 1,096.83 × 514.79
  4. Step 4: Simplify right side
    794.39x = 564,631.63
  5. Step 5: Solve for x
    x = 564,631.63/794.39
  6. Step 6: Final answer
    x = 710.78

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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.