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Finding the Fourth Proportional to 829.06, 1,141.50 and 725.56

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Solution

The fourth proportional to 829.06, 1,141.50 and 725.56 is: 998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.06 : 1,141.50 = 725.56 : x
  2. Step 2: Convert to fraction form
    829.06/1,141.50 = 725.56/x
  3. Step 3: Cross multiply
    829.06x = 1,141.50 × 725.56
  4. Step 4: Simplify right side
    829.06x = 828,226.74
  5. Step 5: Solve for x
    x = 828,226.74/829.06
  6. Step 6: Final answer
    x = 998.99

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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.