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Finding the Fourth Proportional to 766.98, 1,150.17 and 402.08

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Solution

The fourth proportional to 766.98, 1,150.17 and 402.08 is: 602.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.98 : 1,150.17 = 402.08 : x
  2. Step 2: Convert to fraction form
    766.98/1,150.17 = 402.08/x
  3. Step 3: Cross multiply
    766.98x = 1,150.17 × 402.08
  4. Step 4: Simplify right side
    766.98x = 462,453.09
  5. Step 5: Solve for x
    x = 462,453.09/766.98
  6. Step 6: Final answer
    x = 602.95

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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.