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Finding the Fourth Proportional to 724.94, 1,087.17 and 313.97

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Solution

The fourth proportional to 724.94, 1,087.17 and 313.97 is: 470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.94 : 1,087.17 = 313.97 : x
  2. Step 2: Convert to fraction form
    724.94/1,087.17 = 313.97/x
  3. Step 3: Cross multiply
    724.94x = 1,087.17 × 313.97
  4. Step 4: Simplify right side
    724.94x = 341,333.33
  5. Step 5: Solve for x
    x = 341,333.33/724.94
  6. Step 6: Final answer
    x = 470.85

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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.