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Finding the Fourth Proportional to 749.90, 1,124.84 and 262.96

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Solution

The fourth proportional to 749.90, 1,124.84 and 262.96 is: 394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.90 : 1,124.84 = 262.96 : x
  2. Step 2: Convert to fraction form
    749.90/1,124.84 = 262.96/x
  3. Step 3: Cross multiply
    749.90x = 1,124.84 × 262.96
  4. Step 4: Simplify right side
    749.90x = 295,785.77
  5. Step 5: Solve for x
    x = 295,785.77/749.90
  6. Step 6: Final answer
    x = 394.43

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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.