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Finding the Fourth Proportional to 723.64, 1,085.23 and 236.56

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Solution

The fourth proportional to 723.64, 1,085.23 and 236.56 is: 354.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.64 : 1,085.23 = 236.56 : x
  2. Step 2: Convert to fraction form
    723.64/1,085.23 = 236.56/x
  3. Step 3: Cross multiply
    723.64x = 1,085.23 × 236.56
  4. Step 4: Simplify right side
    723.64x = 256,722.01
  5. Step 5: Solve for x
    x = 256,722.01/723.64
  6. Step 6: Final answer
    x = 354.76

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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.