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Finding the Fourth Proportional to 724.17, 999.84 and 488.47

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Solution

The fourth proportional to 724.17, 999.84 and 488.47 is: 674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.17 : 999.84 = 488.47 : x
  2. Step 2: Convert to fraction form
    724.17/999.84 = 488.47/x
  3. Step 3: Cross multiply
    724.17x = 999.84 × 488.47
  4. Step 4: Simplify right side
    724.17x = 488,391.84
  5. Step 5: Solve for x
    x = 488,391.84/724.17
  6. Step 6: Final answer
    x = 674.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.