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Finding the Fourth Proportional to 724.14, 1,087.94 and 464.65

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Solution

The fourth proportional to 724.14, 1,087.94 and 464.65 is: 698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 1,087.94 = 464.65 : x
  2. Step 2: Convert to fraction form
    724.14/1,087.94 = 464.65/x
  3. Step 3: Cross multiply
    724.14x = 1,087.94 × 464.65
  4. Step 4: Simplify right side
    724.14x = 505,511.32
  5. Step 5: Solve for x
    x = 505,511.32/724.14
  6. Step 6: Final answer
    x = 698.09

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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.