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Finding the Fourth Proportional to 766.04, 1,149.18 and 333.32

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Solution

The fourth proportional to 766.04, 1,149.18 and 333.32 is: 500.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.04 : 1,149.18 = 333.32 : x
  2. Step 2: Convert to fraction form
    766.04/1,149.18 = 333.32/x
  3. Step 3: Cross multiply
    766.04x = 1,149.18 × 333.32
  4. Step 4: Simplify right side
    766.04x = 383,044.68
  5. Step 5: Solve for x
    x = 383,044.68/766.04
  6. Step 6: Final answer
    x = 500.03

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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.