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Finding the Fourth Proportional to 769.95, 1,062.53 and 420.64

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Solution

The fourth proportional to 769.95, 1,062.53 and 420.64 is: 580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.95 : 1,062.53 = 420.64 : x
  2. Step 2: Convert to fraction form
    769.95/1,062.53 = 420.64/x
  3. Step 3: Cross multiply
    769.95x = 1,062.53 × 420.64
  4. Step 4: Simplify right side
    769.95x = 446,942.62
  5. Step 5: Solve for x
    x = 446,942.62/769.95
  6. Step 6: Final answer
    x = 580.48

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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.