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Finding the Fourth Proportional to 774.93, 1,162.64 and 227.12

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Solution

The fourth proportional to 774.93, 1,162.64 and 227.12 is: 340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.93 : 1,162.64 = 227.12 : x
  2. Step 2: Convert to fraction form
    774.93/1,162.64 = 227.12/x
  3. Step 3: Cross multiply
    774.93x = 1,162.64 × 227.12
  4. Step 4: Simplify right side
    774.93x = 264,060.57
  5. Step 5: Solve for x
    x = 264,060.57/774.93
  6. Step 6: Final answer
    x = 340.75

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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.