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Finding the Fourth Proportional to 724.80, 1,086.62 and 377.96

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Solution

The fourth proportional to 724.80, 1,086.62 and 377.96 is: 566.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.80 : 1,086.62 = 377.96 : x
  2. Step 2: Convert to fraction form
    724.80/1,086.62 = 377.96/x
  3. Step 3: Cross multiply
    724.80x = 1,086.62 × 377.96
  4. Step 4: Simplify right side
    724.80x = 410,698.90
  5. Step 5: Solve for x
    x = 410,698.90/724.80
  6. Step 6: Final answer
    x = 566.64

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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.