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Finding the Fourth Proportional to 643.23, 966.74 and 534.25

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Solution

The fourth proportional to 643.23, 966.74 and 534.25 is: 802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.23 : 966.74 = 534.25 : x
  2. Step 2: Convert to fraction form
    643.23/966.74 = 534.25/x
  3. Step 3: Cross multiply
    643.23x = 966.74 × 534.25
  4. Step 4: Simplify right side
    643.23x = 516,479.76
  5. Step 5: Solve for x
    x = 516,479.76/643.23
  6. Step 6: Final answer
    x = 802.95

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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.