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Finding the Fourth Proportional to 724.22, 1,086.09 and 313.10

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Solution

The fourth proportional to 724.22, 1,086.09 and 313.10 is: 469.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.22 : 1,086.09 = 313.10 : x
  2. Step 2: Convert to fraction form
    724.22/1,086.09 = 313.10/x
  3. Step 3: Cross multiply
    724.22x = 1,086.09 × 313.10
  4. Step 4: Simplify right side
    724.22x = 340,054.78
  5. Step 5: Solve for x
    x = 340,054.78/724.22
  6. Step 6: Final answer
    x = 469.55

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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.