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Finding the Fourth Proportional to 769.82, 1,062.35 and 420.50

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Solution

The fourth proportional to 769.82, 1,062.35 and 420.50 is: 580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.82 : 1,062.35 = 420.50 : x
  2. Step 2: Convert to fraction form
    769.82/1,062.35 = 420.50/x
  3. Step 3: Cross multiply
    769.82x = 1,062.35 × 420.50
  4. Step 4: Simplify right side
    769.82x = 446,716.07
  5. Step 5: Solve for x
    x = 446,716.07/769.82
  6. Step 6: Final answer
    x = 580.29

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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.