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Finding the Fourth Proportional to 724.37, 1,086.71 and 416.25

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Solution

The fourth proportional to 724.37, 1,086.71 and 416.25 is: 624.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.37 : 1,086.71 = 416.25 : x
  2. Step 2: Convert to fraction form
    724.37/1,086.71 = 416.25/x
  3. Step 3: Cross multiply
    724.37x = 1,086.71 × 416.25
  4. Step 4: Simplify right side
    724.37x = 452,340.96
  5. Step 5: Solve for x
    x = 452,340.96/724.37
  6. Step 6: Final answer
    x = 624.47

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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.