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Finding the Fourth Proportional to 767.11, 1,150.36 and 401.70

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Solution

The fourth proportional to 767.11, 1,150.36 and 401.70 is: 602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.11 : 1,150.36 = 401.70 : x
  2. Step 2: Convert to fraction form
    767.11/1,150.36 = 401.70/x
  3. Step 3: Cross multiply
    767.11x = 1,150.36 × 401.70
  4. Step 4: Simplify right side
    767.11x = 462,099.61
  5. Step 5: Solve for x
    x = 462,099.61/767.11
  6. Step 6: Final answer
    x = 602.39

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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.