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Finding the Fourth Proportional to 774.92, 1,162.36 and 254.92

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Solution

The fourth proportional to 774.92, 1,162.36 and 254.92 is: 382.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.92 : 1,162.36 = 254.92 : x
  2. Step 2: Convert to fraction form
    774.92/1,162.36 = 254.92/x
  3. Step 3: Cross multiply
    774.92x = 1,162.36 × 254.92
  4. Step 4: Simplify right side
    774.92x = 296,308.81
  5. Step 5: Solve for x
    x = 296,308.81/774.92
  6. Step 6: Final answer
    x = 382.37

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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.