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Finding the Fourth Proportional to 749.82, 1,124.30 and 229.68

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Solution

The fourth proportional to 749.82, 1,124.30 and 229.68 is: 344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.82 : 1,124.30 = 229.68 : x
  2. Step 2: Convert to fraction form
    749.82/1,124.30 = 229.68/x
  3. Step 3: Cross multiply
    749.82x = 1,124.30 × 229.68
  4. Step 4: Simplify right side
    749.82x = 258,232.03
  5. Step 5: Solve for x
    x = 258,232.03/749.82
  6. Step 6: Final answer
    x = 344.39

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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.