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Finding the Fourth Proportional to 766.18, 1,149.19 and 376.03

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Solution

The fourth proportional to 766.18, 1,149.19 and 376.03 is: 564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.18 : 1,149.19 = 376.03 : x
  2. Step 2: Convert to fraction form
    766.18/1,149.19 = 376.03/x
  3. Step 3: Cross multiply
    766.18x = 1,149.19 × 376.03
  4. Step 4: Simplify right side
    766.18x = 432,129.92
  5. Step 5: Solve for x
    x = 432,129.92/766.18
  6. Step 6: Final answer
    x = 564.01

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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.