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Finding the Fourth Proportional to 724.08, 1,087.20 and 416.28

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Solution

The fourth proportional to 724.08, 1,087.20 and 416.28 is: 625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.08 : 1,087.20 = 416.28 : x
  2. Step 2: Convert to fraction form
    724.08/1,087.20 = 416.28/x
  3. Step 3: Cross multiply
    724.08x = 1,087.20 × 416.28
  4. Step 4: Simplify right side
    724.08x = 452,579.62
  5. Step 5: Solve for x
    x = 452,579.62/724.08
  6. Step 6: Final answer
    x = 625.04

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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.