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Finding the Fourth Proportional to 724.56, 1,085.92 and 313.44

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Solution

The fourth proportional to 724.56, 1,085.92 and 313.44 is: 469.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.56 : 1,085.92 = 313.44 : x
  2. Step 2: Convert to fraction form
    724.56/1,085.92 = 313.44/x
  3. Step 3: Cross multiply
    724.56x = 1,085.92 × 313.44
  4. Step 4: Simplify right side
    724.56x = 340,370.76
  5. Step 5: Solve for x
    x = 340,370.76/724.56
  6. Step 6: Final answer
    x = 469.76

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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.