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Finding the Fourth Proportional to 724.54, 1,087.26 and 313.68

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Solution

The fourth proportional to 724.54, 1,087.26 and 313.68 is: 470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.54 : 1,087.26 = 313.68 : x
  2. Step 2: Convert to fraction form
    724.54/1,087.26 = 313.68/x
  3. Step 3: Cross multiply
    724.54x = 1,087.26 × 313.68
  4. Step 4: Simplify right side
    724.54x = 341,051.72
  5. Step 5: Solve for x
    x = 341,051.72/724.54
  6. Step 6: Final answer
    x = 470.71

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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.