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Finding the Fourth Proportional to 643.23, 965.39 and 515.79

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Solution

The fourth proportional to 643.23, 965.39 and 515.79 is: 774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.23 : 965.39 = 515.79 : x
  2. Step 2: Convert to fraction form
    643.23/965.39 = 515.79/x
  3. Step 3: Cross multiply
    643.23x = 965.39 × 515.79
  4. Step 4: Simplify right side
    643.23x = 497,935.93
  5. Step 5: Solve for x
    x = 497,935.93/643.23
  6. Step 6: Final answer
    x = 774.12

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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.