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Finding the Fourth Proportional to 643.74, 964.99 and 482.14

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Solution

The fourth proportional to 643.74, 964.99 and 482.14 is: 722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.74 : 964.99 = 482.14 : x
  2. Step 2: Convert to fraction form
    643.74/964.99 = 482.14/x
  3. Step 3: Cross multiply
    643.74x = 964.99 × 482.14
  4. Step 4: Simplify right side
    643.74x = 465,260.28
  5. Step 5: Solve for x
    x = 465,260.28/643.74
  6. Step 6: Final answer
    x = 722.75

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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.