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Finding the Fourth Proportional to 643.98, 964.16 and 536.16

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Solution

The fourth proportional to 643.98, 964.16 and 536.16 is: 802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.98 : 964.16 = 536.16 : x
  2. Step 2: Convert to fraction form
    643.98/964.16 = 536.16/x
  3. Step 3: Cross multiply
    643.98x = 964.16 × 536.16
  4. Step 4: Simplify right side
    643.98x = 516,944.03
  5. Step 5: Solve for x
    x = 516,944.03/643.98
  6. Step 6: Final answer
    x = 802.73

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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.