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Finding the Fourth Proportional to 724.69, 1,087.21 and 416.89

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Solution

The fourth proportional to 724.69, 1,087.21 and 416.89 is: 625.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.69 : 1,087.21 = 416.89 : x
  2. Step 2: Convert to fraction form
    724.69/1,087.21 = 416.89/x
  3. Step 3: Cross multiply
    724.69x = 1,087.21 × 416.89
  4. Step 4: Simplify right side
    724.69x = 453,246.98
  5. Step 5: Solve for x
    x = 453,246.98/724.69
  6. Step 6: Final answer
    x = 625.44

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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.