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Finding the Fourth Proportional to 560.82, 769.83 and 517.08

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Solution

The fourth proportional to 560.82, 769.83 and 517.08 is: 709.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.82 : 769.83 = 517.08 : x
  2. Step 2: Convert to fraction form
    560.82/769.83 = 517.08/x
  3. Step 3: Cross multiply
    560.82x = 769.83 × 517.08
  4. Step 4: Simplify right side
    560.82x = 398,063.70
  5. Step 5: Solve for x
    x = 398,063.70/560.82
  6. Step 6: Final answer
    x = 709.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.