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Finding the Fourth Proportional to 643.68, 963.96 and 630

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Solution

The fourth proportional to 643.68, 963.96 and 630 is: 943.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.68 : 963.96 = 630 : x
  2. Step 2: Convert to fraction form
    643.68/963.96 = 630/x
  3. Step 3: Cross multiply
    643.68x = 963.96 × 630
  4. Step 4: Simplify right side
    643.68x = 607,294.80
  5. Step 5: Solve for x
    x = 607,294.80/643.68
  6. Step 6: Final answer
    x = 943.47

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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.