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Finding the Fourth Proportional to 774.96, 1,162.54 and 227.14

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Solution

The fourth proportional to 774.96, 1,162.54 and 227.14 is: 340.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.96 : 1,162.54 = 227.14 : x
  2. Step 2: Convert to fraction form
    774.96/1,162.54 = 227.14/x
  3. Step 3: Cross multiply
    774.96x = 1,162.54 × 227.14
  4. Step 4: Simplify right side
    774.96x = 264,059.34
  5. Step 5: Solve for x
    x = 264,059.34/774.96
  6. Step 6: Final answer
    x = 340.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.