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Finding the Fourth Proportional to 642.04, 961.92 and 513.52

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Solution

The fourth proportional to 642.04, 961.92 and 513.52 is: 769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.04 : 961.92 = 513.52 : x
  2. Step 2: Convert to fraction form
    642.04/961.92 = 513.52/x
  3. Step 3: Cross multiply
    642.04x = 961.92 × 513.52
  4. Step 4: Simplify right side
    642.04x = 493,965.16
  5. Step 5: Solve for x
    x = 493,965.16/642.04
  6. Step 6: Final answer
    x = 769.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.