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Finding the Fourth Proportional to 829.35, 1,243.86 and 418.09

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Solution

The fourth proportional to 829.35, 1,243.86 and 418.09 is: 627.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.35 : 1,243.86 = 418.09 : x
  2. Step 2: Convert to fraction form
    829.35/1,243.86 = 418.09/x
  3. Step 3: Cross multiply
    829.35x = 1,243.86 × 418.09
  4. Step 4: Simplify right side
    829.35x = 520,047.46
  5. Step 5: Solve for x
    x = 520,047.46/829.35
  6. Step 6: Final answer
    x = 627.05

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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.