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Finding the Fourth Proportional to 724.68, 1,083.96 and 634.68

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Solution

The fourth proportional to 724.68, 1,083.96 and 634.68 is: 949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.68 : 1,083.96 = 634.68 : x
  2. Step 2: Convert to fraction form
    724.68/1,083.96 = 634.68/x
  3. Step 3: Cross multiply
    724.68x = 1,083.96 × 634.68
  4. Step 4: Simplify right side
    724.68x = 687,967.73
  5. Step 5: Solve for x
    x = 687,967.73/724.68
  6. Step 6: Final answer
    x = 949.34

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1.5x scale

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.