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Finding the Fourth Proportional to 723.71, 1,085.74 and 236.77

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Solution

The fourth proportional to 723.71, 1,085.74 and 236.77 is: 355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.71 : 1,085.74 = 236.77 : x
  2. Step 2: Convert to fraction form
    723.71/1,085.74 = 236.77/x
  3. Step 3: Cross multiply
    723.71x = 1,085.74 × 236.77
  4. Step 4: Simplify right side
    723.71x = 257,067.35
  5. Step 5: Solve for x
    x = 257,067.35/723.71
  6. Step 6: Final answer
    x = 355.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.