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Finding the Fourth Proportional to 724.06, 998.40 and 461.98

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Solution

The fourth proportional to 724.06, 998.40 and 461.98 is: 637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.06 : 998.40 = 461.98 : x
  2. Step 2: Convert to fraction form
    724.06/998.40 = 461.98/x
  3. Step 3: Cross multiply
    724.06x = 998.40 × 461.98
  4. Step 4: Simplify right side
    724.06x = 461,240.83
  5. Step 5: Solve for x
    x = 461,240.83/724.06
  6. Step 6: Final answer
    x = 637.02

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Why These Related Problems?

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