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Finding the Fourth Proportional to 724.36, 1,085.06 and 446.34

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Solution

The fourth proportional to 724.36, 1,085.06 and 446.34 is: 668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.36 : 1,085.06 = 446.34 : x
  2. Step 2: Convert to fraction form
    724.36/1,085.06 = 446.34/x
  3. Step 3: Cross multiply
    724.36x = 1,085.06 × 446.34
  4. Step 4: Simplify right side
    724.36x = 484,305.68
  5. Step 5: Solve for x
    x = 484,305.68/724.36
  6. Step 6: Final answer
    x = 668.60

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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.