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Finding the Fourth Proportional to 643.28, 963.84 and 499.04

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Solution

The fourth proportional to 643.28, 963.84 and 499.04 is: 747.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.28 : 963.84 = 499.04 : x
  2. Step 2: Convert to fraction form
    643.28/963.84 = 499.04/x
  3. Step 3: Cross multiply
    643.28x = 963.84 × 499.04
  4. Step 4: Simplify right side
    643.28x = 480,994.71
  5. Step 5: Solve for x
    x = 480,994.71/643.28
  6. Step 6: Final answer
    x = 747.72

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Why These Related Problems?

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