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Finding the Fourth Proportional to 723.81, 998.52 and 461.66

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Solution

The fourth proportional to 723.81, 998.52 and 461.66 is: 636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.81 : 998.52 = 461.66 : x
  2. Step 2: Convert to fraction form
    723.81/998.52 = 461.66/x
  3. Step 3: Cross multiply
    723.81x = 998.52 × 461.66
  4. Step 4: Simplify right side
    723.81x = 460,976.74
  5. Step 5: Solve for x
    x = 460,976.74/723.81
  6. Step 6: Final answer
    x = 636.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.